N-solitons, breathers and rogue waves for a generalized Boussinesq equation

A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic computation method, analytical N-soliton solutions, three types of breather solutions (namely, Kuznetsov-Ma, Akhmediev and generalized breather soluti...

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Bibliographic Details
Published in:International journal of computer mathematics 2020-08, Vol.97 (8), p.1648-1661
Main Author: Ma, Yu-Lan
Format: Article
Language:English
Subjects:
Boussinesq equations
breather
Breathers
Computational fluid dynamics
Generalized Boussinesq equation
interaction and collision
N-soliton
rogue wave
Solitary waves
symbolic computation method
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Summary:A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic computation method, analytical N-soliton solutions, three types of breather solutions (namely, Kuznetsov-Ma, Akhmediev and generalized breather solutions), and rogue wave solutions are obtained. The extreme points of rogue waves are analyzed in detail. Furthermore, a type of novel X-like soliton is observed.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2019.1639678