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Solving the nonlinear periodic wave problems with the homotopy analysis method. (English) Zbl 1189.35293
Summary: An analytic technique, namely the Homotopy Analysis Method (HAM), is applied to solve the nonlinear mKdV equation. Solutions for periodic waves are given and compared with the exact ones, which shows the validity of the HAM for the nonlinear periodic wave problems.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35C10 Series solutions to PDEs
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