New soliton-like solutions to the potential Kadomstev–Petviashvili (PKP) equation

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摘要

In this paper, new soliton-like solutions are obtained for (2+1)-dimensional potential Kadomstev–Petviashvili (PKP) equation by using the symbolic computation method developed by Gao and Tian. Solitary wave solutions obtained in [Appl. Math. Comput 123 (2001) 29] are merely a special case in this paper. The method can also be extended to other types of nolionear evolution equations in mathematical physics.

论文关键词:Symbolic computation method,(2 + 1)-Dimensional potential Kadomstev–Petviashvili (PKP) equation,Soliton-like solutions,Exact solutions

论文评审过程:Available online 6 February 2003.

论文官网地址:https://doi.org/10.1016/S0096-3003(02)00588-X