New breather wave and interaction solutions of the generalized (2+1)-dimensional variable-coefficient shallow water wave equation

被引：0
|
作者：
Liu, Jian-Guo [1 ]
Zhu, Wen-Hui [2 ]
Wu, Ya-Kui [3 ]
机构：
[1] Jiangxi Univ Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
[2] Nanchang Inst Sci & Technol, Inst artificial intelligence, Nanchang 330108, Jiangxi, Peoples R China
[3] Jiujiang Univ, Sch Sci, Nanchang 332005, Jiangxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Breather wave; Three-wave method; Interaction solutions; Lump wave; LUMP SOLUTIONS;
D O I：
10.1007/s11071-023-08710-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work, a generalized (2 + 1) dimensional variable-coefficient shallow water wave equation is investigated, which describes the interaction between Riemann waves propagating along the y- axis and long waves propagating along the x-axis in a fluid. Based on the Hirota bilinear form and three-wave method, the breather wave solution is obtained. The interaction solutions between lump wave and periodic wave are presented. The interaction solutions between lump wave and solitary waves are also studied. None of these obtained solutions have been found in other literature.
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页码：16441 / 16447
页数：7
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