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

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

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 wi...

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Bibliographic Details
Published in:Nonlinear dynamics 2021, Vol.103 (2), p.1841-1850
Main Authors: Liu, Jian-Guo, Zhu, Wen-Hui
Format: Article
Language:eng
Subjects:
Automotive Engineering
Classical Mechanics
Coefficients
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Vibration
Wave equations
Online Access:Get full text
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Summary: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.
ISSN:0924-090X
1573-269X