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Construction of periodic and solitary wave solutions for nonlinear evolution equations. (English) Zbl 1161.35484
Summary: An extended mapping method is used to drive some new exact travelling wave solutions of nonlinear evolution equations arising in physics,namely,generalized Hirota-Satsuma coupled KdV system and coupled Maccaris equations. As a result, many exact travelling wave solutions are obtained which include new solitary wave solutions, triangular and hyperbolic functions. Solutions in the limiting cases have also been studied. It is shown that the mapping method provides a very effective and powerful mathematical tool for solving nonlinear evolution equations in physics.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
35B10Periodic solutions of PDE