Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior

被引：127

作者：

Xu, Hao-Nan ^{[1
]}

Ruan, Wei-Yong ^{[1
]}

Zhang, Yu ^{[1
]}

Lu, Xing ^{[1
]}

机构：

[1] Beijing Jiao Tong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 99卷

基金：

中国国家自然科学基金;

关键词：

Hirota bilinear form; Extended Jimbo-Miwa equation; Multi-exponential wave solution; Resonant behavior; MULTIPLE-SOLITON SOLUTIONS; BACKLUND TRANSFORMATION; BOUSSINESQ EQUATION; LUMP DYNAMICS;

D O I：

10.1016/j.aml.2019.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Resonance phenomena occur widely in fluid, physics and other fields, e.g., they are related with the optical elements, the well-balanced scheme for shallow water with discontinuous topography, and some phenomena in chaotic dynamics and fluid dynamics. Application of the principle of linear superposition to the Hirota bilinear equation gives rise to a sufficient and necessary condition for the existence of multi-exponential wave solutions. We study the resonance behavior based on the construction of multi-exponential wave solution to two extended (3 + 1)-dimensional Jimbo-Miwa equations. The resonance characteristics are analyzed and simulated for some resonant two-wave and three-wave solutions. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：10

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