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Multiple solution profiles to the higher-dimensional Kadomtsev–Petviashvilli equations via Wronskian determinant

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  • Yan, Zhenya

Abstract

Many types of new exact solutions of (3+1)-dimensional KP equation are obtained via an unified Wronskian determinant and three linear partial differential equations, which involve many types of multiple solitary wave solutions, rational solutions, and rational-solitary wave solutions. It is shown that the collisions of the obtained multiple solitary wave solutions are elastic, which implies that (3+1)-dimensional KP equation admits multisoliton solutions. Moreover we also give the Wronskian formal solutions of (n+1)-dimensional KP equations.

Suggested Citation

  • Yan, Zhenya, 2007. "Multiple solution profiles to the higher-dimensional Kadomtsev–Petviashvilli equations via Wronskian determinant," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 951-957.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:951-957
    DOI: 10.1016/j.chaos.2006.01.122
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