Multiple rogue wave, breather wave and interaction solutions of a generalized (3+1)-dimensional variable-coefficient nonlinear wave equation

被引：71
作者：
Liu, Jian-Guo [1 ]
Zhu, Wen-Hui [2 ]
机构：
[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
[2] Nanchang Inst Sci & Technol, Inst Artificial Intelligence, Nanchang 330108, Jiangxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2021年 / 103卷 / 02期
关键词：
Rogue wave; Dynamic behaviors; Symbolic computation approach; RATIONAL SOLUTIONS; LIQUID; SOLITONS; SOLITARY;
D O I：
10.1007/s11071-020-06186-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Based on a direct variable transformation, we obtain multiple rogue wave solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation, including first-order, two-order and three-order rogue wave solutions. Their dynamic behaviors are shown by some 3D plots. Compared with Zha's symbolic computation approach, we do not need to resort to Hirota bilinear form, and it can be used to deal with variable-coefficient integrable equations. Interaction solution between rogue wave and periodic wave is obtained by using the Hirota bilinear form. Abundant breather wave solutions are presented by a direct test function.
引用
收藏
页码：1841 / 1850
页数：10
相关论文
共 42 条
[1]   On the numerical solution of nonplanar dust-acoustic super rogue waves in a strongly coupled dusty plasma [J].
Almutalk, Salemah A. ;
El-Tantawy, S. A. ;
El-Awady, E. I. ;
EI-Labany, S. K. .
PHYSICS LETTERS A, 2019, 383 (16) :1937-1941
[2]   Shallow-water rogue waves: An approach based on complex solutions of the Korteweg-de Vries equation [J].
Ankiewicz, A. ;
Bokaeeyan, Mahyar ;
Akhmediev, N. .
PHYSICAL REVIEW E, 2019, 99 (05)
[3]   Integrability, solitons, periodic and travelling waves of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles [J].
Deng, Gao-Fu ;
Gao, Yi-Tian .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (06)
[4]  
Draper L., 1965, MAR OBS, V35, P193
[5]   Resonant behavior of multiple wave solutions to a Hirota bilinear equation [J].
Gao, Li-Na ;
Zhao, Xue-Ying ;
Zi, Yao-Yao ;
Yu, Jun ;
Lu, Xing .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) :1225-1229
[6]   Abundant new analytical and approximate solutions to the generalized Schamel equation [J].
Ghanbari, Behzad ;
Akgul, Ali .
PHYSICA SCRIPTA, 2020, 95 (07)
[7]   Rogue waves in nonlinear Schrodinger models with variable coefficients: Application to Bose-Einstein condensates [J].
He, J. S. ;
Charalampidis, E. G. ;
Kevrekidis, P. G. ;
Frantzeskakis, D. J. .
PHYSICS LETTERS A, 2014, 378 (5-6) :577-583
[8]   Rogue waves during Typhoon Trami in the East China Sea [J].
Jiang Xingjie ;
Guan Changlong ;
Wang Daolong .
JOURNAL OF OCEANOLOGY AND LIMNOLOGY, 2019, 37 (06) :1817-1836
[9]   Equation for the three-dimensional nonlinear waves in liquid with gas bubbles [J].
Kudryashov, Nikolay A. ;
Sinelshchikov, Dmitry I. .
PHYSICA SCRIPTA, 2012, 85 (02)
[10]   Nonlinear waves behaviors for a coupled generalized nonlinear Schrodinger-Boussinesq system in a homogeneous magnetized plasma [J].
Lan, Zhong-Zhou ;
Guo, Bo-Ling .
NONLINEAR DYNAMICS, 2020, 100 (04) :3771-3784
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