Bilinear auto-Backlund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves

被引：168
作者：
Shen, Yuan
Tian, Bo [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 122卷
基金：
中国国家自然科学基金;
关键词：
Shallow water waves; (3+1)-dimensional generalized nonlinear evolution equation; Hirota method; Symbolic computation; Bilinear auto-Backlund transformation; Soliton solution;
D O I：
10.1016/j.aml.2021.107301
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Waves are seen in the atmosphere, oceans, etc. As one of the most common natural phenomena, water waves attract the attention of researchers. For the shallow water waves, a (3+1)-dimensional generalized nonlinear evolution equation is hereby investigated via the symbolic computation. Based on the Hirota method, we present three bilinear auto-Backlund transformations, along with some soliton solutions. Our results depend on the water-wave coefficients in that equation. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：7
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