N-soliton solutions of the KP equation by Exp-function method

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摘要

In this paper, the Exp-function method is generalized to determine the 1-soliton, 2-soliton and 3-soliton solutions of the Kadomtsev–Petviashvili (KP) equation. Then the uniform formula of N-soliton solutions is derived. The method is simple and straightforward in constructing the N-soliton of the nonlinear evolution equation in mathematical physics.

论文关键词:Exp-function method,KP equation,N-soliton solutions,Nonlinear evolution equations

论文评审过程:Available online 31 December 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.12.095