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

Zhenya Yan

Chaos, Solitons & Fractals, 2007, vol. 33, issue 3, 951-957

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.

Keywords: (3+1)-dimensional KP equation; Wronskian determinant; Exact solution; Elastic collision; Soliton solution (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:3:p:951-957

DOI: 10.1016/j.chaos.2006.01.122

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