Multi-solitons and integrability for a (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation

被引：25
|
作者：
Zhao, Xue-Hui [1 ,2 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 149卷
基金：
中国国家自然科学基金;
关键词：
(2+1)-dimensional variable-coefficient; Date-Jimbo-Kashiwara-Miwa equation; Bell polynomials; Soliton solutions; Backlund transformation; Infinitely-many conservation laws;
D O I：
10.1016/j.aml.2023.108895
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation in this paper is a (2+1)-dimensional generalized variable coefficients Date-Jimbo-Kashiwara-Miwa equation, which describes the nonlinear dispersive wave in inhomogeneous media. Via the generalized Laurent series truncated at the constant-level term, an auto-Backlund transformation is derived. Bilinear forms, Backlund transformation, Lax pair and infinitely-many conservation laws are derived based on the binary Bell polynomials. Multi-soliton solutions are constructed via the Hirota method.
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页数：5
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