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

被引：48
作者：
Ma, Yu-Lan [1 ]
机构：
[1] Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 08期
关键词：
Generalized Boussinesq equation; symbolic computation method; N-soliton; breather; rogue wave; interaction and collision; NONLINEAR SCHRODINGER SYSTEM; SOLITARY WAVES;
D O I：
10.1080/00207160.2019.1639678
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1648 / 1661
页数：14
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[31]   Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics [J].
Wu, Xiao-Yu ;
Tian, Bo ;
Liu, Lei ;
Sun, Yan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (02) :215-223
[32]   Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation [J].
Yan, Xue-Wei ;
Tian, Shou-Fu ;
Dong, Min-Jie ;
Zhou, Li ;
Zhang, Tian-Tian .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (01) :179-186
[33]   Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations [J].
Yuan, Yu-Qiang ;
Tian, Bo ;
Liu, Lei ;
Wu, Xiao-Yu ;
Sun, Yan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 460 (01) :476-486
[34]   Nonlinear Stage of Modulation Instability [J].
Zakharov, V. E. ;
Gelash, A. A. .
PHYSICAL REVIEW LETTERS, 2013, 111 (05)
[35]   Solitons and other exact solutions for variant nonlinear Boussinesq equations [J].
Zayed, Elsayed M. E. ;
Al-Nowehy, Abdul-Ghani .
OPTIK, 2017, 139 :166-177
[36]   Rogue waves and solitons of the coherently-coupled nonlinear Schrodinger equations with the positive coherent coupling [J].
Zhang, Chen-Rong ;
Tian, Bo ;
Wu, Xiao-Yu ;
Yuan, Yu-Qiang ;
Du, Xia-Xia .
PHYSICA SCRIPTA, 2018, 93 (09)
[37]   Solitons, Backlund transformation and Lax pair for a (2+1)-dimensional Davey-Stewartson system on surface waves of finite depth [J].
Zhao, Xue-Hui ;
Tian, Bo ;
Xie, Xi-Yang ;
Wu, Xiao-Yu ;
Sun, Yan ;
Guo, Yong-Jiang .
WAVES IN RANDOM AND COMPLEX MEDIA, 2018, 28 (02) :356-366
[38]   Multi-soliton interaction of a generalized Schrodinger-Boussinesq system in a magnetized plasma [J].
Zhao, Xue-Hui ;
Tian, Bo ;
Chai, Jun ;
Wu, Xiao-Yu ;
Guo, Yong-Jiang .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (04)
1234