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The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Author

Listed:
  • Li-Jun Xu

    (Department of Mathematics, Lishui University, Lishui 323000, China)

  • Zheng-Yi Ma

    (Department of Mathematics, Lishui University, Lishui 323000, China
    Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China)

  • Jin-Xi Fei

    (Department of Photoelectric Engineering, Lishui University, Lishui 323000, China)

  • Hui-Ling Wu

    (Department of Mathematics, Lishui University, Lishui 323000, China)

  • Li Cheng

    (Department of Mathematics, Lishui University, Lishui 323000, China
    Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China)

Abstract

The (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper, we first present the bilinear form for this equation after constructing one Bäcklund transformation. As a result, the one-soliton solution, two-soliton solution, and three-soliton solution are shown successively and the corresponding soliton structures are constructed. These solitons and their interactions illustrate that the obtained solutions have powerful applications.

Suggested Citation

  • Li-Jun Xu & Zheng-Yi Ma & Jin-Xi Fei & Hui-Ling Wu & Li Cheng, 2025. "The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation," Mathematics, MDPI, vol. 13(2), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:236-:d:1565065
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