N-soliton solutions, Backlund transformation and Lax Pair for a generalized variable-coefficient cylindrical Kadomtsev-Petviashvili equation

被引：16
|
作者：
Lan, Zhong-Zhou [1 ]
机构：
[1] Inner Mongolia Univ Finance & Econ, Sch Comp Informat Management, Hohhot 010070, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 158卷
基金：
中国国家自然科学基金;
关键词：
A generalized variable-coefficient cylindrical; Kadomtsev-Petviashvili equation; Bell polynomials; Soliton solutions; Backlund transformation; Lax pair; SYMBOLIC COMPUTATION; MODEL;
D O I：
10.1016/j.aml.2024.109239
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a generalized variable-coefficient cylindrical Kadomtsev-Petviashvili equation, which characterizes the water waves propagation in the fluid dynamics. Via the generalized Laurent series truncated at the constant-level term, an auto-Backlund transformation is derived. We establish the bilinear form through the utilization of the Bell polynomials. Based on the Hirota method, we construct the N-soliton solutions. We derive the bilinear Backlund transformation and Lax pair by virtue of the Hirota bilinear operators' exchange formulae and symbolic computation.
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页数：6
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