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Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation

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  • Yu, Guo-Fu
  • Hu, Xing-Biao

Abstract

In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev–Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential equations is made for solving the resultant linear systems. A special method is constructed to solve the representative systems.

Suggested Citation

  • Yu, Guo-Fu & Hu, Xing-Biao, 2009. "Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(1), pages 184-191.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:1:p:184-191
    DOI: 10.1016/j.matcom.2009.06.006
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    References listed on IDEAS

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    1. Ma, Wen-Xiu, 2005. "Complexiton solutions of the Korteweg–de Vries equation with self-consistent sources," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1453-1458.
    2. Ma, Wen-Xiu & Maruno, Ken-ichi, 2004. "Complexiton solutions of the Toda lattice equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 219-237.
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    Cited by:

    1. Wu, Jianping, 2022. "Wronskian and Grammian conditions, and Pfaffianization of an extended (3+1)-dimensional Jimbo–Miwa equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 446-454.

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