Rogue wave and a pair of resonance stripe solitons to a reduced (3+1)-dimensional Jimbo-Miwa equation

被引:167
作者
Zhang, Xiaoen [1 ,2 ]
Chen, Yong [1 ,2 ]
机构
[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[2] East China Normal Univ, MOE Int Joint Lab Trustworthy Software, Shanghai 200062, Peoples R China
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 52卷
基金
中国国家自然科学基金;
关键词
Dynamic property; Rogue wave; Stripe soliton; Soliton fusion; Soliton fission;
D O I
10.1016/j.cnsns.2017.03.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a combination of stripe soliton and lump soliton is discussed to a reduced (3+1)-dimensional Jimbo-Miwa equation, in which such solution gives rise to two different excitation phenomena: fusion and fission. Particularly, a new combination of positive quadratic functions and hyperbolic functions is considered, and then a novel nonlinear phenomenon is explored. Via this method, a pair of resonance kink stripe solitons and rogue wave is studied. Rogue wave is triggered by the interaction between lump soliton and a pair of resonance kink stripe solitons. It is exciting that rogue wave must be attached to the stripe solitons from its appearing to disappearing. The whole progress is completely symmetry, the rogue wave starts itself from one stripe soliton and lose itself in another stripe soliton. The dynamic properties of the interaction between one stripe soliton and lump soliton, rogue wave are discussed by choosing appropriate parameters. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:24 / 31
页数:8
相关论文
共 29 条
[1]   Recent progress in investigating optical rogue waves [J].
Akhmediev, N. ;
Dudley, J. M. ;
Solli, D. R. ;
Turitsyn, S. K. .
JOURNAL OF OPTICS, 2013, 15 (06)
[2]   Rogue waves and rational solutions of the Hirota equation [J].
Ankiewicz, Adrian ;
Soto-Crespo, J. M. ;
Akhmediev, Nail .
PHYSICAL REVIEW E, 2010, 81 (04)
[3]   Sasa-Satsuma equation: Soliton on a background and its limiting cases [J].
Bandelow, U. ;
Akhmediev, N. .
PHYSICAL REVIEW E, 2012, 86 (02)
[4]   Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems [J].
Chen, Junchao ;
Chen, Yong ;
Feng, Bao-Feng ;
Maruno, Ken-ichi .
PHYSICS LETTERS A, 2015, 379 (24-25) :1510-1519
[5]   Interaction of lumps with a line soliton for the DSII equation [J].
Fokas, AS ;
Pelinovsky, DE ;
Sulem, C .
PHYSICA D-NONLINEAR PHENOMENA, 2001, 152 :189-198
[6]   Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions [J].
Guo, Boling ;
Ling, Liming ;
Liu, Q. P. .
PHYSICAL REVIEW E, 2012, 85 (02)
[7]   SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].
JIMBO, M ;
MIWA, T .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001
[8]  
Kharif C, 2009, ADV GEOPHYS ENV MECH, P1, DOI 10.1007/978-3-540-88419-4_1
[9]  
Ma WX, 2016, NONLINEAR DYNAM, V84, P923, DOI 10.1007/s11071-015-2539-6
[10]   Lump solutions to the Kadomtsev-Petviashvili equation [J].
Ma, Wen-Xiu .
PHYSICS LETTERS A, 2015, 379 (36) :1975-1978