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Wronskian and Grammian conditions, and Pfaffianization of an extended (3+1)-dimensional Jimbo–Miwa equation

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  • Wu, Jianping

Abstract

In this paper, a Wronskian condition and a Grammian condition are proposed for an extended (3+1)-dimensional Jimbo–Miwa equation, which guarantee that the N-soliton solutions of the equation can be expressed in Wronskian and Grammian determinants. Moreover, some examples of Wronskian and Grammian solutions are explicitly computed, and the corresponding soliton dynamics are graphically illustrated via Mathematica by choosing suitable parameters. In addition, the Pfaffianization of the extended (3+1)-dimensional Jimbo–Miwa equation is realized to generate a new coupled (3+1)-dimensional system whose solutions are further expressed as Wronskian-type and Grammian-type Pfaffians.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:198:y:2022:i:c:p:446-454
    DOI: 10.1016/j.matcom.2022.02.027
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    References listed on IDEAS

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    1. Ma, Wen-Xiu, 2021. "Binary Darboux transformation for general matrix mKdV equations and reduced counterparts," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. 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.
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