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Exact periodic wave solutions to some nonlinear evolution equations. (English) Zbl 1285.35089
Summary: The extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions for nonlinear evolution equations arising in mathematical physics. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions are obtained. The method is applicable to a large variety of nonlinear partial differential equations, as long as odd- and even-order derivative terms do not coexist in the equation under consideration. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

35Q53 KdV equations (Korteweg-de Vries equations)
35B10 Periodic solutions to PDEs