New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations

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摘要

In this letter, the Kaup–Kupershmidt, (2+1)-dimensional Potential Kadomtsev–Petviashvili (shortly PKP) equations are presented and the Exp-function method is employed to compute an approximation to the solution of nonlinear differential equations governing the problem. It has been attempted to show the capabilities and wide-range applications of the Exp-function method. This method can be used as an alternative to obtain analytic and approximate solution of different types of differential equations applied in engineering mathematics.

论文关键词:Exp-function method,Kaup–Kupershmidt equation,(2+1)-dimensional Potential Kadomtsev–Petviashvili (PKP) equation,Traveling wave solution,Periodic solutions,Soliton

论文评审过程:Received 20 February 2008, Revised 19 May 2008, Available online 30 October 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.10.052