Alexey V. Porubov

Physics Letters A, Wave Motion, Physica Scripta, Physica Status Solidi, Technical Physics Letters, Journal of Applied Physics, Journal of Physics and Chemistry of Solids, Ocean Engineering, International Journal of Non-linear Mechanics, Communications in Nonlinear Science and Numerical Simulation, Proceedings of the Estonian Academy of Sciences, Physica D, Journal of Acoustic Society of America, Journal of Sound and Vibrations, ZAMM, Chaos, Applied Mathematical Modeling, International Journal of Engineering Science, Journal of Mathematical Analysis and Applications, Continuum Mechanics and Thermodynamics, Mathematics and Computers in Simulation, Proceedings of the Royal Society A

1. Fourth European Conference on Control and Structure, Saint Petersburg, Russia, September 8-12, 2008. Member of the Organizing Committee
2. Organizer of eight Minisymposia on Nonlinear Waves in Solids in the framework of the Annual International Conference ”Advanced Problems in Mechanics” Saint- Petersburg, 2003-2010.
3. Euromech Nonlinear Dynamics Conference, ENOC-2008, Saint Petersburg, Russia, June 30-July 4, 2008. Member of the Stirring Committee

1. 34th International Conference ”Applications of Mathematics in Engineering and Economics”, Sozopol, Bulgaria, June 6-12, 2008
2. 11th EUROMECH-MECAMAT Conference on Mechanics of microstructured solids: cellular materials, fiber reinforced solids and soft tissues, Torino, Italy, 10-14 March, 2008
3. International Workshop ”Complex structures, generalized continua, and nonlinear waves”, Nancy, France, 4-7 April, 2006.
4. ISASUT Intensive Seminar on Non-Linear Waves, Generalized Continua and Complex Structures, Torino, Italy, 4-6 May 2005
5. Chairman of eight Minisymposia on Nonlinear Waves in Solids in the framework of the Annual International Conference ”Advanced Problems in Mechanics” Saint- Petersburg, 2003-2010.
6. Invited lecture at the International Conference ”Advanced Problems in Mechanics” Saint-Petersburg, June 22–27, 2015.

Analytical description of nonlinear waves in fluids and solids including soft biological tissues. Derivation of exact, asymptotic and numerical solutions to nonlinear nonintegrable equations. Continuum limits of discrete systems. Feedback control for nonlinear partial differential equations.

1. ”Nonlinear description of two- dimensional wave cellular structures on the liquid layer surface”, IV International workshop on nonlinear and turbulent processes in physics ”Nonlinear World”, Kiev, USSR, October 1989 (in collaboration with A. M. Samsonov).
2. ”Free surface nonlinear waves on thin viscous liquid layer of varying depth”, 2nd All-Union Conference ”Mathematical Modelling: Nonlinear Problems and Computational Mathematics”, Zvenigorod, USSR, November 1990.
3. ”Numerical modelling of nonlinear strain waves in inhomogeneous waveguide” 2nd All Union Conference ”Mathematical Modelling: Nonlinear Problems and Computational Mathematics”, Zvenigorod, USSR, November 1990 (in collaboration with A. M. Samsonov & E.V. Sokurinskaya).
4. ”Nonlinear waves on free surface of thin viscous liquid layer”, VII All-Union Meeting on Theoretical and Applied Mechanics, Moscow, August 1991.
5. ”Finite amplitude waves propagation in thin elastic layer on elastic half- space”, 13th International Symposium on Nonlinear Acoustics, Bergen, Norway, 28th June- 2nd July 1993(in collaboration with A. M. Samsonov).
6. ”Free surface nonlinear waves description vs Oberbeck - Boussinesq approximation”, International Conference ”Nonlinear Waves, Ocsillations and Vorticies in Fluids”, St. Petersburg, Russia, June 1994 (in collaboration with A. M. Samsonov).
7. ”Free surface solitary waves on thin viscous inhomogeneous liquid layer”, 2nd European Fluid Mechanics Conference, Warsaw, Poland, September 1994 (in collaboration with A. M. Samsonov).
8. ”Long nonlinear strain waves in layered elastic half-space”. 10th Winter School on Continuum Medium Mechanics, Perm, Russia, February 1995 (in collaboration with A. M. Samsonov).
9. ”The Murnaghan moduli estimation by means of solitary strain wave parameters measurements in elastic rod”, 10th Winter School on Continuum Medium Mechanics, Perm, Russia, February 1995 (in collaboration with A. M. Samsonov).
10. ”Influence of compressibility on existence of free surface solitary waves in B?enard - Marangoni system”, 10th Winter School on Continuum Medium Mechanics, Perm, Russia, February 1995 (in collaboration with A. M. Samsonov).
11. ”Free surface nonlinear waves description vs Oberbeck- Boussinesq approximation”, International Symposium ”KdV’95”, Amsterdam, the Netherlands, April 1995 (in collaboration with A. M. Samsonov). 12. ”Long nonlinear strain waves in layered elastic half-space”, Day on Diffraction’95, St.Petersburg, Russia, May 1995 (in collaboration with A. M. Samsonov).
12. ”Long Nonlinear Strain Waves Propagation in Layered Elastic Half-Space”, XIII International School on Continuum Medium Mechanics Models, St.Petersburg, Russia, July 1995 (in collaboration with A. M. Samsonov).
13. ” Non-Boussinesq Effects Influence on Free Surface NonlinearWaves Propagation in B?enard-Marangoni Convection System”, XIII International School on Continuum Medium Mechanics Models, St.Petersburg, Russia, July 1995 (in collaboration with A. M. Samsonov).
14. ” Non-Boussinesq description of long nonlinear surface waves on viscous heated layer with free boundaries” , ”Free boundaries in Viscous Flows” Intern. Symp., St. Petersburg, Russia, 4-7 September 1996( in collaboration with A.M.Samsonov)
15. ” Local and nonlocal description of strain solitons in elastic wave’guides in contact with an elastic external medium”, Euromech Colloquium 378 ”Nonlocal Aspects in Solid Mechanics”, Mulhouse, France, 20-22 April 1998 (in collaboration with M.G. Velarde).
16. ”Exact solutions of nonlinear equation with dispersion and dissipation”, Workshop on Interfacial Phenomena, Madrid, Spain, 13-17 July 1998.
17. ”Strain solitons in an elastic rod embedded in external medium”, Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, Scotland, 5-9 July 1999.
18. ”Exact solutions of nonlinear modulation equations”, Fourth International Congress on Industrial and Applied Mathematics, Edinburgh, Scotland, 5-9 July 1999(in collaboration with D.F. Parker and M.G. Velarde)..
19. ”Exact solutions of nonlinear modulation equations”, Day on Diffraction’2000, Saint-Petersburg, Russia, 29 May-1 June 2000.
20. ”Nonlinear Strain Waves in an Elastic Rod Inside a Dissipative External Medium”, International Workshop on Nonlinear Waves in Solids, Hongkong, China, 8-11 June 2000.
21. ”Solitary Deformation Waves Propagation in Nano- and Micro-inhomogeneous Solids”, Third International Conference ”Differential Equations and Applications”, Saint-Petersburg, Russia, 12-17 June 2000 (in collaboration with V.E. Khartsiev).
22. ” Strain Solitary Waves in an Elastic Rod with Microstructure”, Fourth International Seminar on ”Geometry, Continua and Microstructures”, Turin, Italy, 26-28 October 2000.
23. ”Influence of the lateral surface friction contact on the strain solitary wave propagation in an elastic rod”, Day on Diffraction’2001, Saint-Petersburg, Russia, 28 May-31 May 2001.
24. ”Nonlinear DeformationWaves in Solids with Microstructure”, International Workshop on Nonlinear Lattice Structure and Dynamics, Dresden, Germany, September 3-9 2001. (in collaboration with F. Pastrone)
25. ”Large SolitaryWaves Formation in Microstructured Solids” Euromech Colloquium 436: Nonlinear Waves in Microstructured Solids, Tallinn, Estonia, May 29- June 1, 2002. (in collaboration with G.A. Maugin, V.V. Krzhizhanovskaya, and V.V. Gursky).
26. ”Influence of microstructures on the evolution of nonlinear strain waves”, Day on Diffraction’2002, Saint-Petersburg, Russia, June 5-7 2002.(in collaboration with F. Pastrone and D.V. Shevchenko).
27. ”Localized Nonlinear Strain Waves in Solids” XXX Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 27-July 6, 2002.(in collaboration with D.V. Shevchenko).
28. ”Analytico-numerical approach for description of localized nonlinear waves in dispersivedissipative systems” GAMM 2003, Padova, Italy, March 24-28, 2003.
29. ”Two-dimensional long wave nonlinear model for the rogue waves in the ocean”, Day on Diffraction’2003, Saint-Petersburg, Russia, June 24-27, 2003.(in collaboration with I.V. Lavrenov and D.V. Shevchenko).
30. ”Localized nonlinear strain waves in complex dispersive-dissipative solids” XXXI Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 22-July 2, 2003.(in collaboration with G.A. Maugin, V.V. Gursky, V.V. Krzhizhanovskaya, and D.V. Shevchenko).
31. ”Non-linear waves in solids with microstructure” XXXI Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 22 - July 2, 2003.(in collaboration with F. Pastrone and P. Cermelli).
32. ”Nonlinear Localized strain waves in plates” XII Winter School ”Nonlinear Waves- 2004”, Nizhny Novgorod, Russia, February 29- March 7, 2004.
33. ”Two-dimensional nonlinear strain waves in plates”XXXII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 24 - July 1, 2004. (in collaboration with G.A. Maugin, and V.V. Mareev)
34. ” Formation of abnormally high localized water waves due to two-dimensional long wave nonlinear waves interaction”, Day on Diffraction’ 2004, Saint-Petersburg, Russia, June 29- July 2, 2004.(in collaboration with I.V. Lavrenov and H. Tsuji).
35. ”Amplification of two-dimensional strain solitary waves”, RIAM Symposium No. 16ME-S1 ”Physics and Mathematical Structures of Nonlinear Waves”, Fukuoka, Japan, 15-17 November, 2004.
36. ”On amplification of nonlinear two-dimensional waves”, Scientific Session of the Moscow Engineering and Physics Institute (State university), Moscow, Russia, 24- 28 January, 2005 [in Russian]
37. ”Analytical solutions and unsteady processes governed by non-linear non-integrable equations”, ISASUT Intensive Seminar on Non-Linear Waves, Generalized Continua and Complex Structures, Torino, Italy, 4-6 May 2005
38. ”On formation of rogue waves and holes in ocean”, ISASUT Intensive Seminar on Non-Linear Waves, Generalized Continua and Complex Structures, Torino, Italy, 4-6 May 2005
39. ”Longitudinal strain solitary waves in presence of cubic nonlinearity”, Intern. Conf. ”FPU+50: Nonlinear waves 50 years after Fermi-Pasta-Ulam”, Rouen, France, 21-25 June 2005. (in collaboration with G.A. Maugin).
40. ” Formation of rogue waves and holes in ocean”XXXIII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 28 - July 5, 2005. (in collaboration with I.V. Lavrenov).
41. ”Use of analytical solutions of nonlinear equations for the need of their numerical simulation”, Scientific Session of the Moscow Engineering and Physics Institute (State university), Moscow, Russia, 23-27 January, 2006 [in Russian]
42. ”Influence of cubic nonlinearity on propagation of longitudinal strain waves”, International Workshop ”Complex structures, generalized continua, and nonlinear waves”, Nancy, France, 4-7 April, 2006.
43. ”Amplification of nonlinear strain waves”, International Workshop ”Complex structures, generalized continua, and nonlinear waves”, Nancy, France, 4-7 April, 2006.
44. ”Use of asymptotic solutions of differential approximations for improvement of the schemes ”, Day on Diffraction’ 2006, Saint-Petersburg, Russia, May 30- June 2, 2006.(in collaboration with D. Bouche and G. Bonnaud).
45. ”On derivation of model equations for nonlinear strain waves in wave guides”XXXIV Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 25 - July 1, 2006.
46. ”Influence of cubic nonlinearity on propagation of longitudinal nonlinear strain waves”IX Russian Congress on Theoretical and Applied Mechanics”, Nizhny Novgorod, Russia, August 22 - 28, 2006.
47. ”Improved description of longitudinal strain solitary waves”Euromech Colloquium 484: Wave Mechanics and Stability of Long Flexible Structures Subject to Moving Loads and Flows, Delft, the Netherlands, 18-22 September, 2006.
48. ”Cubic nonlinearity and surface solitary waves propagation” Euromech Colloquium 481: Recent advances in the theory and application of surface and edge waves, Keele, UK, 10-13 June, 2007.(in collaboration with G.A. Maugin)
49. ”Localized strain waves in media with abnormal nonlinear properties”XXXV Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 20 - 28, 2007.
50. ”Essentially nonlinear mechanics of the formation of micro- and nanostructures, and the Gardner equation”, Scientific Session of the Moscow Engineering and Physics Institute (State university), Moscow, Russia, 21-27 January, 2008 [in Russian]
51. ”Essentially nonlinear strain waves in solids with complex internal structure” 11th EUROMECH-MECAMAT Conference ”Mechanics of microstructured solids: cellular materials, fibre reinforced solids and soft tissues” Torino, Italy, March 10 -14, 2008.
52. ”Use of Particular Analytical Solutions for Numerical Calculations of Nonlinear PDEs” 34th International Conference ”Applications of mathematics in engineering and economics” Sozopol, Bulgaria, June 6-12, 2008.
53. ”Improvement of numerical description of non-linear shock profiles by use of analytical solutions of differential approximations” Sixth Euromech Nonlinear Dynamics Conference , Saint-Petersburg, Russia, June 30 - July 4, 2008. (in collaboration with D. Bouche and G. Bonnaud)
54. ”Influence of internal fine structure on propagation of strain solitary waves in crystals.” XXXVI Summer School ”Advanced Problems in Mechanics”, Saint- Petersburg, Russia, July 6 - 10, 2008.
55. ”Structurally caused abnormal nonlinearity and localized strain waves.” Fourth European Conference of Structural Control, Saint-Petersburg, Russia, September 8 - 12, 2008.
56. ”Dynamic properties of essentially nonlinear generalized continua.” Euromech Colloquium 510: Mechanics of Generalized Continua: A hundred years after the Cosserats, Paris, May 13-16, 2009 (in collaboration with E. L. Aero).
57. ”Modelling of intensive nonlinear strain waves.” XXXVII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 30- July 5, 2009.
58. ” Nonlinear description of internal structural deviations in solids” 7th Euromech Solid Mechanics Conference, Lisbon, Portugal, 7-11 September, 2009 (in collaboration with E. L. Aero and G.A. Maugin).
59. ”Models for essentially nonlinear strain waves in complex materials” International Conference on Complexity of Nonlinear Waves, Tallinn, Estonia, October 5-7, 2009
60. ”Nonlinear, dispersive and dissipative features of the growth plate during the growth of long bones ” CPEA’10: Continuum Physics and Engineering Applications Rackeve (Budapest), Hungary, 29 May - 7 June, 2010 (in collaboration with G.A. Maugin).
61. ”Application of nonlinear waves for the problem of growth of long bones” XXXVIII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, July 1- July 5, 2010.
62. ”Nonlinear dynamic processes in media with internal structure” First German- French- Russian symposium on Generalized Continua Leucorea, Lutherstadt-Wittenberg (Germany) August 9th - 11th, 2010 (in collaboration with B. Andrievsky and E. Aero)
63. ”Application of nonlinear waves for the problem of growth of long bones” Workshop ”Recent problems in nonlinear dynamics” Tallinn, Estonia, 22 October 2010
64. ”Nonlinear strain waves and modeling of the growth of long bones” Scientific Session of the Moscow Engineering and Physics Institute (State university), Moscow, Russia, 2-3 February, 2011 [in Russian]
65. ” Solitary wave interactions in coupled systems” The seventh IMACS international conference on nonlinear evolution equations and wave phenomena: computation and theory, Athens, GA April 04–07, 2011
66. ”Nonlinear dynamic variations in internal structure of a complex lattice” XXXIX Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, July 1– July 5, 2011 (in collaboration with B. Andrievsky).
67. ”Numerical study of nonlinear equations using their asymptotic solutions” 7th European Nonlinear Dynamics Conference, ENOC 2011, Rome 24–29 July 2011.
68. ” Localized nonlinear strain waves in media with internal structure”ICOVP 2011: the 10th International Conference on Vibration Problems, Prague, Czech Republic, 5-8 September, 2011 (in collaboration with B. Andrievsky).
69. ”Influence of coupling on nonlinear wave localization” Scientific Session of the Moscow Engineering and Physics Institute (State University), Moscow, Russia, 30 January – 4 February, 2012 [in Russian]
70. ”Localized moving defects in media with internal structure” XL Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, July 2– July 6, 2012 (in collaboration with B. Andrievsky).
71. ”Localization of Nonlinear Strain Waves in Composites” 8th European Solid Mechanics Conference, Graz, Austria, July 9 –July 13, 2012 (in collaboration with I.V. Andrianov and D. Weichert).
72. ”Continuum Modeling of Localized Defects in Complex Lattices”Second Trilateral Seminar ”Generalized continua as models for materials with multi-scale effects or under multi-field actions”, Leucorea, Lutherstadt, Wittenberg, Germany, September 27–29, 2012 (in collaboration with E.L. Aero and B. Andrievsky).
73. ”Nonlinear strain waves in bi-atomic crystals”EUROMECH Colloquium 540 ”Advanced Modelling of Wave Propagation in Solids”, Prague, Czech Republic, October 1-3, 2012 (in collaboration with B. Andrievsky).
74. ”Nonlinear modeling of diatomic lattices” II International conference ”Methods of mathematical physics and mathematical modeling of physical processes”. In the framework of the Scientific Session of the state Nuclear University (MIFI), Moscow, Russia, 1 – 6 February, 2013 [in Russian]
75. ”Suppression of the scheme dispersion for coupled nonlinear equations”. Days on Diffraction 2013,St. Petersburg, May 27 - 31, 2013 (in collaboration with D. Bouche and G. Bonnaud)
76. ”Nonlinear dynamics of diatomic lattices” XLI Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, July 1– July 6, 2013.
77. ”Analytical study of the scheme dispersion for coupled nonlinear equations”. 7th International Conference Computer Science and Information Technologies, Yerevan, Armenia 23–27 September, 2013 (in collaboration with D. Bouche and G. Bonnaud)
78. ”Two-dimensional nonlinear waves in a hexagonal lattice” III International conference ”Methods of mathematical physics and mathematical modeling of physical processes”. In the framework of the Scientific Session of the state Nuclear University (MIFI), Moscow, Russia, 27 January – 1 February, 2014 [in Russian]
79. ”Nonlinear modeling of localized strains in materials using correct continuum limits” Euromech Colloquium 563 ”Generalized Continua and their application to the design of composites and metamaterials”, Cisterna di Latina, Italy,March 17–21, 2014
80. ”Longitudinal plane waves in media with hexagonal structure” XLII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 30– July 5, 2014.(in collaboration with I. Berinskii)
81. ”Asymptotic description of nonlinear processes in a hexagonal lattice” 8th European Nonlinear Dynamic Conference, Vienna, Austria, July 6–Luly 11, 2014 (in collaboration with I. Berinskii)
82. ”Nonlinear waves in hexagonal lattices” IUTAM Symposium GA 12-08 ”Complexity of Nonlinear Waves”, Tallinn, Estonia, September 8– September 12, 2014
83. ”Nonlinear modeling of two-dimensional waves in a hexagonal lattice”. IV Intern. conference ” Methods of mathematical physics” in the framework of the Scientific Session of the state Nuclear University (MIFI), Moscow, Russia, 16–21 February, 2015 [in Russian]
84. ”Localized nonlinear waves in lattices: modeling, generation and control” XLIII Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, June 22–27, 2015.
85. ”Two Dimensional Nonlinear Waves in Hexagonal Lattices ” 9th European Solid Mechanics Conference, Madrid, Spain, July 6 –July 10, 2015
86. ” Control of antikinks of the sine Gordon equation” International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015) Rhodes, Greece, September 23–29, 2015
87. ” Control of nonlinear localized wave solutions” III International conference ”Problems of mathematical and theoretical physics and mathematical modeling”, Moscow, Russia, 5–7 April, 2016 [in Russian]

Books and collective monographs

1. A.V. Porubov Localization of nonlinear strain waves: asymptotic and numerical methods, Fizmatlit, Moscow, 2009, 208 p. in Russian.
2. A.V. Porubov Amplification of nonlinear strain waves in solids, World Scientific, Singapore, 2003, 213p.
3. A. V. Porubov, E. L. Aero and B. R. Andrievsky, Nonlinear Generalizations of the Born-Huang Model and Their Continuum Limits, In: H. Altenbach et al. (eds.), Generalized Continua as Models for Materials, Advanced Structured Materials (Springer, New York, 2013) P. 283–290.
4. A.V. Porubov, B. R. Andrievsky, Localized nonlinear strain waves in media with internal structure, In: Vibration Problems ICOVP 2011: the 10th International Conference on Vibration Problems, Springer Proceedings in Physics 139, J. Naprstek et al. (eds.), (Springer, 2011) P. 687–692.
5. A.V. Porubov, B. R. Andrievsky, Localized nonlinear strain waves in media with internal structure, In: Vibration Problems ICOVP 2011: the 10th International Conference on Vibration Problems, Springer Proceedings in Physics 139, J. N?aprstek et al. (eds.), (Springer, 2011) P. 687–692.
6. A.V. Porubov,E. L. Aero and B. R. Andrievsky, Dynamic Properties of Essentially Nonlinear Generalized Continua, In: Mechanics of Generalized Continua One Hundred Years After the Cosserats, G.A. Maugin, A.V. Metrikine (Eds.) (Springer, New York, 2010) P. 161–168.
7. A.V. Porubov, Essentially Nonlinear Strain Waves in Solids with Complex Internal Structure. In: Mechanics of Microstructured Solids Cellular Materials, Fibre Reinforced Solids and Soft Tissues, J.-F. Ganghoffer and Franco Pastrone (Eds.)( Springer, Berlin, 2009) P. 119–126.
8. A.V. Porubov, Dissipative nonlinear strain waves in solids. In : ”Selected Topics in Nonlinear Wave Mechanics”, C.I. Christov and A. Guran, Editors ( Birkh?auser 2001)P.223-260.
9. A.M. Samsonov, G.V. Dreiden, A.V. Porubov and I.V. Semenova. Longitudinal strain solitons in nonlinearly elastic rod. In: Russian Science: Withstand and Revive, Collection of best popular science articles written for the contest, organized by the International Science Foundation (Nauka, Moscow 1997) P. 33-41 (in Russian)
10. A.V. Porubov, A.M. Samsonov, Amplification of longitudinal strain soliton in a nonlinearly elastic rod. In:”Problems of Applied Mathematics and Mathematical Physics” (St.Petersburg, Ioffe Institute, 2001) pp.212-225. [in Russian]
11. A.M. Samsonov, G.V. Dreiden, A.V. Porubov, I.V. Semenova and E.V. Sokurinskaya. Theory and observation of strain solitons in solids. In:Ioffe Institute Prize Winners’96(St.Petersburg 1997)P. 5-14. See also: www.ioffe.rssi.ru

Publications in Refereed Journals

1. A.V. Porubov. Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid. J.Phys. A: Math. Gen. 26, L797- L800 (1993).
2. A.V. Porubov, A.M. Samsonov. Determination of the temperature dependence of the surface tension by estimating the parameters of nonlinear surface waves. Techn. Phys. Lett. 19, 5-6 (1993).
3. A.V. Porubov, A.M. Samsonov. Refinement of longitudinal strain wave propagation problem in nonlinearly elastic rod. Techn. Phys. Lett. 19, 365-366 (1993).
4. A.V. Porubov, A.M. Samsonov. Solitary waves on the surface of a thin layer of viscous inhomogeneous liquid. Tech.Phys. 40, 232-237 (1995).
5. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova, E.V. Sokurinskaya. On experiments in longitudinal strain solitons propagation in nonlinearly elastic rod. Techn. Phys. Lett. 21, 415-417 (1995).
6. A.V. Porubov, A. M. Samsonov. Long nonlinear strain waves in layered elastic half-space. Intern. J. Nonlinear Mechanics 30, 861 -877 (1995).
7. A.V. Porubov. Periodical solution to the nonlinear dissipative equation for surface waves in a convective liquid layer. Phys.Lett. A 221 391-394 (1996).
8. A.M. Samsonov, G.V. Dreiden, A.V. Porubov and I.V. Semenova. Generation and observation of a longitudinal strain soliton in a plate. Tech.Phys.Lett. 22 891-893 (1996).
9. A.M. Samsonov, G.V. Dreiden, A.V. Porubov and I.V. Semenova. Longitudinal strain soliton focusing in a narrowing nonlinearly elastic rod. Phys. Rev. B 57 5778-5787 (1998).
10. A.V. Porubov, A.M. Samsonov, M.G. Velarde, and A.V. Bukhanovsky. Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding. Phys. Rev. E 58 3854-3864 (1998).
11. A.V. Porubov and D.F. Parker. Some General Periodic Solutions to Coupled Nonlinear Schr?odinger Equations. Wave Motion 29, no 2, 97-109(1999).
12. A.V. Porubov and M.G. Velarde. Exact Periodic Solutions of the Complex Ginzburg-Landau Equation. J. Math. Phys. 40 884-896 (1999).
13. A.V. Porubov and M.G. Velarde. Dispersive-dissipative solitons in nonlinear solids. Wave Motion 31, no 3, 197-207(2000).
14. A.V. Porubov and M.G. Velarde. On nonlinear waves in an elastic solid. Comptes Rendus Acad Sci. (Paris) IIb 328, no 2, 165-170 (2000).
15. I.L. Kliakhandler, A.V. Porubov and M.G.Velarde. Localized finite-amplitude disturbances and selection of solitary waves. Phys. Rev. E 62, no 4, 4959-4962 (2000).
16. I.V. Semenova, G.V. Dreiden, A.M. Samsonov, A.V. Porubov, Strain solitary waves in inhomogeneous wave guides. Optics and Lasers in Engineering 34, no 3, 159-168(2000).
17. A.V. Porubov. Strain solitary waves in an elastic rod with microstructure. Rendiconti del Seminario Matematico dell’Universita’ e Politecnico di Torino, Special Issue: Geometry, Continua and Microstructures 58, 2, 189-198(2000).
18. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova, Reflection of a longitudinal strain solitary wave from the end face of a nonlinearly elastic rod. Tech. Phys. 46 no 5, 505–511 (2001)[Zhurnal Tekhnicheskoi Fiziki 71 no 5, 1-8 (2001)].
19. A.V. Porubov and M.G. Velarde. Strain kinks in an elastic rod embedded in a viscoelastic medium. Wave Motion 35 no 3, 189-204 (2002).
20. A.V. Porubov and D.F. Parker. Some General Periodic Solutions for Optical Cascading. Proceeding of the Royal Society A 458, No 2025, 2139-2151 (2002).
21. A.V. Porubov, V.V. Gursky, and G.A. Maugin, Selection of localized nonlinear seismic waves, Proc. Estonian Acad. Sci., Phys. Math. 52, No1, 85-93 (2003)
22. A.V. Porubov and F. Pastrone, Nonlinear bell-shaped and kink-shaped strain waves in microstructured solids Intern. J. Non-Linear Mech. 39, No 8, 1289-1299 (2004) available online at www.sciencedirect.com.
23. A.V. Porubov, F.Pastrone, G.A. Maugin, Selection of two-dimensional nonlinear strain waves in micro-structured media C. R. Acad. Sci. Paris, Ser. I 332 No 7, 513-518 (2004), available online at www.sciencedirect.com.
24. A.V. Porubov, G.A. Maugin, and V.V. Mareev, Localization of two-dimensional nonlinear strain waves in a plate.Intern. J. Non-Linear Mech. 39, No 8, 1359– 1370(2004) available online at www.sciencedirect.com.
25. F.Pastrone, P. Cermelli and A.V. Porubov, Nonlinear waves in 1-D solids with microstructure, Materials Physics and Mechanics 7, No1, 9–16(2004) available online at http://www.ipme.ru/e-journals/MPM
26. A.V. Porubov, On localization of two-dimensional nonlinear internal waves in a two-layer fluid,Techn. Phys. 50, No 7 , 864–867 (2005) [Zhurnal Tech. Phys. 75, No 7, 48–51 (2005) in Russian]
27. A.V. Porubov, H.Tsuji, I.V. Lavrenov, and M.Oikawa, Formation of the rogue wave due to nonlinear two-dimensional waves interaction, Wave Motion 42, No3, 202–210 (2005)
28. A.V. Porubov, G.A. Maugin, Longitudinal strain solitary waves in presence of cubic nonlinearity Intern. J. Non-Linear Mech. 40, No 7, 1041–1048(2005).
29. A.V. Porubov, G.A. Maugin, V. Gursky, and V. Krzhizhanovskaya, On some localized waves described by the extended KdV equation C. R. M?ecanique, 333 No7, 528–533 (2005)
30. I.V. Lavrenov and A.V. Porubov, Three reasons for freak wave generation in the non-uniform current European Journal of Mechanics B/Fluids 25(2006) 574–585.
31. A.V. Porubov and G.A. Maugin, Propagation of localized longitudinal strain waves in a plate in presence of cubic nonlinearity, Physical Review E 74 No 4, 046617–046624 (2006).
32. A.V. Porubov, Analytical solutions and unsteady processes governed by nonlinear non-integrable equations. Rendiconti del Seminario Matematico dell’Universita’ e Politecnico di Torino 65, 2(2007) 217–230.
33. A.V. Porubov, On formation of the rogue waves and holes in ocean. Rendiconti del Seminario Matematico dell’Universita’ e Politecnico di Torino 65, 2(2007) 279–286.
34. C. Christov, G. A. Maugin and A.V. Porubov, On Boussinesq’s paradigm in nonlinear wave propagation. C. R. M?ecanique, 335 No7, 521–535 (2007).
35. A.V. Porubov and G.A. Maugin, Improved description of longitudinal strain solitary waves. Journal of Sound and Vibration, 310/3, 694–701 (2008).
36. A.V. Porubov, D. Bouche and G. Bonnaud, Description of numerical shock profiles of non-linear Burgers equation by asymptotic solution of its differential approximations. International Journal of Finite Volumes, 5,(2008) 1–16.
37. A.V. Porubov, Derivation of model equations for nonlinear strain waves in wave guides. Nonlinear world, 6, (2008) 391–397. [in Russian]
38. A.V. Porubov, G.A. Maugin, Cubic non-linearity and longitudinal surface solitary waves, Int. J. Non-Linear Mech., 44 (2009) 552-559 , doi: 10.1016/j.ijnonlinmec. 2008.09.003
39. A.V. Porubov, E.L. Aero, G.A. Maugin, Two approaches to study essentially nonlinear and dispersive properties of the internal structure of materials, Phys. Rev. E, 79, 046608 (2009) [12 pages]
40. A.V. Porubov, Model equations for essentially nonlinear longitudinal strain waves Nonlinear world, 7, No 10 (2009) 796-801. [in Russian]
41. A.V. Porubov, D. Bouche, G. Bonnaud, Compensation of the Scheme Dispersion and Dissipation by Artificial Non-linear Additions Trans. on Comput. Sci. VII, LNCS 5890, (2010) 122-131
42. A.V. Porubov, Models for essentially nonlinear strain waves in materials with internal structure Proceedings of the Estonian Academy of Sciences 59 , No 2 (2010) 87 – 92.
43. A.V. Porubov, G.A. Maugin, Application of nonlinear strain waves to the study of the growth of long bones Int. J. Non-Linear Mech. 46 (2011) 387 – 394.
44. A.V. Porubov, B.R. Andrievsky, Influence of coupling on nonlinear waves localization. Commun. Nonlinear Sci Numer Simulat 16 (2011) 3964-3970.
45. A.V. Porubov, G.A. Maugin, B.R. Andrievsky, Solitary wave interactions and reshaping in coupled systems, Wave Motion 48 (2011) 773-781, doi:10.1016/j.wavemoti.2011.04.012
46. A.V. Porubov, B.R. Andrievsky, Nonlinear dynamic variations in internal structure of a complex lattice. Nanosystems: physics, chemistry, mathematics 2 (3) (2011) P.65–70.
47. A.V. Porubov, B. R. Andrievsky, Kink and solitary waves may propagate together. Phys. Rev. E 85, 046604 (2012) [5 pages].
48. A.V. Porubov, I.V. Andrianov, V.V. Danishevskyy, Nonlinear strain wave localization in periodic composites. International Journal of Solids and Structures 49 (2012) 3381–3387.
49. A.V. Porubov, D. Bouche, G. Bonnaud, Analytical solutions to detect the scheme dispersion for the coupled nonlinear equations. Commun. Nonlinear Sci Numer Simulat 18 (2013) 2679–2688.
50. A.V. Porubov, I.V. Andrianov, Nonlinear waves in diatomic crystals, Wave Motion 50 (2013) 1153-1160. DOI information: 10.1016/j.wavemoti.2013.03.009
51. A.V. Porubov, Modeling of strongly nonlinear effects in diatomic lattices, Archive of Applied Mechanics 84, Issue 9 (2014), 1533–1538. DOI: 10.1007/s00419-014- 0859-5
52. A.V. Porubov, Description of kink evolution by means of particular analytical solutions, Mathematics and Computers in Simulation 127 (2016) 229-235 DOI: 10.1016/j.matcom.2013.11.006
53. A.V. Porubov, I.E. Berinskii, Non-linear plane waves in materials having hexagonal internal structure, Int. J. Non-Linear Mech. 67 (2014) 27-33 DOI: 10.1016/ j.ijnonlinmec.2014.07.003
54. A.V. Porubov,A.L.Fradkov, B.R.Andrievsky, Feedback control for some solutions of the sine-Gordon equation, Applied Mathematics and Computation 269 (2015) 17–22. DOI: 10.1016/j.amc.2015.07.040
55. A.V. Porubov, I.V. Andrianov, B. Markert, Transverse instability of nonlinear longitudinal waves in hexagonal lattices, Proceedings of the Estonian Academy of Sciences , 64 , No 3S, (2015)349-355 DOI: 10.3176/proc.2015.3S.04
56. A.V. Porubov, I.E. Berinskii, Two-dimensional nonlinear shear waves in materials having hexagonal lattice structure, Mathematics and Mechanics of Solids, 21 (1) (2016) 94–103, DOI: 10.1177/1081286515577040
57. V. A. Eremeyev, A.V. Porubov, L. Placidi, Special issue in honor of Eron L. Aero, Mathematics and Mechanics of Solids, 21 (1) (2016) 3–5, DOI: 10.1177/1081286515588690
58. A.V. Porubov, A.L. Fradkov, R.S. Bondarenkov and B.R. Andrievsky, Localization of the sine- Gordon equation solutions Commun. Nonlinear Sci Numer Simulat 39 (2016) 29–37. DOI: 10.1016/j.cnsns.2016.02.043
59. A.V. Porubov, A.L. Fradkov, B.R. Andrievsky and R.S. Bondarenkov, Feedback control of the sine- Gordon antikink Wave Motion 65 (2016) 147–155. DOI: 10.1016/j.wavemoti.2016.04.014

Publications in Conference Proceedings

1. A.V. Porubov. On some exact solutions of hyperbolic Boussinesq equation with dissipation. In: ”Nonlinear hyperbolic problems: Theoretical, Applied and Computational Aspects”, A.Donato, F.Oliveri eds. (Vieweg, Braunschweig, 1993), pp. 481-486.
2. A.V. Porubov, A.M. Samsonov. Finite amplitude waves propagation in thin elastic layer on elastic half-space. In: ”Advances in nonlinear acoustics”, H.Hobak ed. (World Sci., 1993), pp. 502-507.
3. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova, E.V. Sokurinskaya. Application of Holographic Interferometry for Strain Soliton Observation in Nonlinearly Elastic Solid Waveguides. In: Laser Interferometry VII: Applications (Int. Symp. Optical Sci., Engng. and Instrumentation), R.J. Pryputniewicz, G.M. Brown, W.P. J?uptner eds. (Proc. SPIE, 1995), v.2545, pp.302-308.
4. G.V. Dreiden, A.V. Porubov, A.M.Samsonov, I.V. Semenova & E.V. Sokurinskaya. Laser generation and optical observation of strain solitons in nonlinearly elastic solid waveguides. In: Nonlinear Optical Interactions and wave dynamics, N.I. Koroteev, V.A. Makarov and K.N. Drabovich eds. (Proceedings SPIE, 1996), v. 2800, pp.325 - 332.
5. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova. Holographic studies of strain soliton evolution in nonlinearly elastic solid waveguides. 10th meeting on Optical Engineering in Israel. March 2-6, 1997, Jerusalem, Israel Proceedings SPIE, v. 3110, pp. 680-690.
6. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova & E.V. Sokurinskaya. Strain solitary waves in plates: laser generation and holographic observation. In: Proc. Fourth Asian Symp. on Visualization, Q.D. Wei ed. (International Acad. Publ., Beijing 1996) pp.129 - 134.
7. A.V. Porubov and M.G. Velarde. Local and nonlocal description of strain solitons in elastic wave’guides in contact with an elastic external medium. In: Proceedings of the Euromech Colloquium 378 ”Nonlocal Aspects in Solid Mechanics”, 1998, A.Brillard and J.F. Ganghoffer eds., pp.184-189.
8. G.V. Dreiden, A.V. Porubov, A.M. Samsonov, I.V. Semenova. Holographic interferometry of strain waves as a tool for nondestructive testing. Intern. Conf. on Optical Metrology. Proceedings SPIE, P.K. Raston, F. Gyimesi eds., v. 3407, 1998, pp. 186-191.
9. A.M. Samsonov, G.V. Dreiden, A.V. Porubov, I.V. Semenova. Strain solitons in solids: physics, numerics and fracture. In: Dynamics of vibro-impact systems. Babitsky ed., Springer, 1999, pp. 215-220.
10. G.V.Dreiden, A.V.Porubov, A.M.Samsonov, I.V.Semenova. Strain solitary wave evolution in finite nonlinearly elastic solid rods. Euromech 406 Colloq. on Image Processing Methods in Appl. Mech. May, 6-8, 1999, Warsaw, Poland. Abstracts, p. 79-82.
11. I.V.Semenova, G.V.Dreiden,, A.M.Samsonov, A.V.Porubov, Strain solitary waves in inhomogeneous wave guides. Proc. Intern. Conf. On Trends in Optical Nondestructive testing, Lugano, May 2000, pp. 105-113.
12. A.V. Porubov, P. Cermelli, and F. Pastrone. Solitary waves in nonlinear elastic solids with microstructures. Proc. Fifth Intern. Seminar on Geometry, Continua and Microstructures, September 2001, Bukharest, Romania, pp. 179-192.
13. F. Pastrone and A.V. Porubov, Influence of Microstructures on the evolution of non-linear strain waves. Proc. of the Intl. Symp. of Multiscaling in Mechanics , G.C. Sih & C.P. Spyropoulos eds., Sept 2-6, 2002, Messini, Greece, National Technical University of Athens Press, 2002, pp.102-109
14. A.V. Porubov, I. Lavrenov and D.V. Shevchenko, Two-dimensional long wave nonlinear model for the rogue waves in the ocean, Proceedings of Days on Diffraction’ 2003, Saint-Petersburg, Russia, June 24-27, 2003, pp.183-192.
15. A.V. Porubov, G.A. Maugin, V.V. Gursky, V.V. Krzhizhanovskaya , and D.V. Shevchenko, Localized nonlinear strain waves in complex dispersive-dissipative solids, Proceedings of the XXXI International Conference Advanced Problems in Mechanics, St. Petersburg, Russia,June 22-July2, 2003, St.Petersburg, 2004, 270- 278.
16. A.V. Porubov, G.A. Maugin, V.V. Mareev, Two-dimensional nonlinear strain waves in plates, Proceedings of the XXXII International Conference Advanced Problems in Mechanics, St. Petersburg, Russia,June 24-July 1, 2004, St.Petersburg, 2004, 371–374.
17. A.V. Porubov, I. V. Lavrenov and H.Tsuji, Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction, Proceedings of Days on Diffraction’2004, Saint-Petersburg, Russia, June 29-July 2, 2004, pp.154- 162.
18. A.V. Porubov, G.A. Maugin, V.V. Mareev, Amplification of two-dimensional strain solitary waves, Proceedings of the RIAM Symposium No.16ME-S1 Physics and Mathematical Structures of Nonlinear Waves, Fukuoka, Japan, November 15 - 17, 2004, (RIAM, 2005) 6–11.
19. A.V. Porubov, G.A. Maugin, On the role of cubic nonlinearity in localization of nonlinear strain waves, Proceedings of the 17 International Symposium on Nonlinear Acoustics, Pennsylvania, 18-22 July 2005 (AIP Conference Proc. V. 838, Melville, New York, 2006) 151 – 156.
20. A.V. Porubov, D. Bouche, G. Bonnaud , Use of asymptotic solutions of differential approximations for improvement of the schemes. Proceedings of Days on Diffraction’2006, Saint-Petersburg, Russia, May 30-June 2, 2006, pp.235–242.
21. A.V. Porubov, D. Bouche, G. Bonnaud, Improvement of numerical description of non-linear shock profiles by use of analytical solutions of differential approximations. Proceedings of Six Euromech Nonlinear Dynamics Conference , Saint- Petersburg, Russia, June 30 - July 4, 2008.(4 pages). See: http://lib.physcon.ru/?item=1671
22. A.V. Porubov, Influence of internal fine structure on propagation of strain solitary waves in crystals. Proceedings of XXXVI Summer School ”Advanced Problems in Mechanics”, Saint-Petersburg, Russia, July 6 - 10, 2008, pp. 539–546.
23. A.V. Porubov, D. Bouche, G. Bonnaud, Use of Particular Analytical Solutions for Calculations of Nonlinear PDEs. Proceedings of the 34th Conference on Applications of Mathematics in Engineering and Economics (AMEE ’08), AIP Conference Proceedings 1067, 145–154 (2008).
24. A.V. Porubov, E. L. Aero and G.A. Maugin, Nonlinear description of internal structural deviations in solids. Proceedings of the ESMC 2009, Manuscript No 83, 14 pages (2009).
25. A.V. Porubov, D. Bouche, G. Bonnaud, Analytical study of the scheme dispersion for coupled nonlinear equations. In: Proceedings of the 7th International Conference Computer Science and Information Technologies, Yerevan, Armenia, pp. 263–265 (2013)
26. R.S. Bondarenkov, A.V. Porubov, Control of localization of nonlinear waves of Sine-Gordon equation. In: The XLVI annual international conference on Control Processes and Stability (CPS’15). Abstracts / Edited by N. V. Smirnov. St. Petersburg: Publishing House Fedorova G.V., 2015. P. 13.
27. A.V. Porubov, R. S. Bondarenkov, A. L. Fradkov, and B. R. Andrievsky, Control of antikinks of the Sine Gordon equation, AIP Conference Proceedings 1738, 230008 (2016); doi: 10.1063/1.4952017