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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Published inInternational journal of computer mathematics Vol. 97; no. 8; pp. 1648 - 1661
Main Author Ma, Yu-Lan
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.08.2020
Taylor & Francis Ltd
Subjects
Boussinesq equations
breather
Breathers
Computational fluid dynamics
Generalized Boussinesq equation
interaction and collision
N-soliton
rogue wave
Solitary waves
symbolic computation method
Online AccessGet full text
ISSN0020-7160
1029-0265
DOI10.1080/00207160.2019.1639678

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Abstract 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.
AbstractList 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.
Author Ma, Yu-Lan
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  surname: Ma
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  organization: School of Science, Beijing Technology and Business University
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Snippet A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic...
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SubjectTerms Boussinesq equations
breather
Breathers
Computational fluid dynamics
Generalized Boussinesq equation
interaction and collision
N-soliton
rogue wave
Solitary waves
symbolic computation method
Title N-solitons, breathers and rogue waves for a generalized Boussinesq equation
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