Construction of Periodic and Solitary Wave Solutions for Nonlinear Evolution Equations

Abstract

An extended mapping method is used to drive some new exact travelling wave so- lutions 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 evolu- tion equations in physics.