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In this article we are suggesting a method for finding exact solutions to integrable
and non-integrable nonlinear mechanics equations that is based on the perturbation method.
The criterion of equality of sequential diagonal Padé approximants whose minimum order is
determined by the pole order of the equation.s solution is used for summation of the
perturbation series. When the criterion is satisfied, the Padé approximants are the sought exact
solutions.
Keywords: perturbation method; Padé approximants; nonlinear evolution equations; exact solutions. |
full paper (pdf, 768 Kb)