Regular soliton solutions and singular soliton solutions for the modified Kadomtsev–Petviashvili equations
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摘要
In this paper, we study the positive and the negative modified Kadomtsev–Petviashvili (mKP) equations. The mKP equations are completely integrable equations that admit N-soliton solutions and an infinite number of conserved densities. Multiple-soliton solutions are obtained for the positive model, whereas multiple–singular soliton solutions are established for the negative model. The analysis depends mainly on the Hirota’s bilinear method.
论文关键词:Hirota bilinear method,mKP equation,N-soliton solutions,Singular soliton solutions
论文评审过程:Available online 20 June 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.06.031