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New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvilli equation with variable coefficients

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  • Zhao, Hong
  • Bai, Chenglin

Abstract

A generalized variable-coefficient algebraic method is proposed to construct several new families of exact solutions of physical interest for the (3+1)-dimensional Kadomtsev–Petviashvilli (KP) equation with variable coefficients. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with most existing tanh method, the extended tanh method, the Jacobi elliptic function method or the algebraic method, the proposed method gives new and more general solutions.

Suggested Citation

  • Zhao, Hong & Bai, Chenglin, 2006. "New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvilli equation with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 217-226.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:217-226
    DOI: 10.1016/j.chaos.2005.08.148
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    Cited by:

    1. Zhao, Hong & Niu, Hui-Juan, 2009. "A new method applied to obtain complex Jacobi elliptic function solutions of general nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 224-232.
    2. Bai, Cheng-Lin & Niu, Hui-Juan, 2009. "New quasi-periodic waves and theirs interactions in (2+1)-dimensional nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2025-2034.

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