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

DOI10.1016/j.chaos.2006.01.122zbMath1151.35421OpenAlexW2055318361MaRDI QIDQ2468204

Zhenya Yan

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.01.122

zbMATH Keywords

exact solutionsoliton solutionelastic collisionWronskian determinant(3+1)-dimensional KP equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items

Rational and complexiton solutions of the \((3+1)\)-dimensional KP equation ⋮ New interaction solutions of \((3+1)\)-dimensional KP and \((2+1)\)-dimensional Boussinesq equations ⋮ Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation ⋮ New exact solutions for the (3+1)-dimensional generalized BKP equation ⋮ Two different classes of Wronskian conditions to a \((3 + 1)\)-dimensional generalized shallow water equation ⋮ Wronskian determinant solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation ⋮ Generalized Wronskian and Grammian Solutions to a Isospectral B-type Kadomtsev-Petviashvili equation

Cites Work

• Bilinear transformation method
• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
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