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

Li-Jun Xu, Zheng-Yi Ma (), Jin-Xi Fei, Hui-Ling Wu and Li Cheng
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Li-Jun Xu: Department of Mathematics, Lishui University, Lishui 323000, China
Zheng-Yi Ma: Department of Mathematics, Lishui University, Lishui 323000, 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

Mathematics, 2025, vol. 13, issue 2, 1-13

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.

Keywords: (2+1)-dimensional integrable equation; Bäcklund transformation; molecular soliton; interaction; breather (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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