Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrodinger equation

被引：47

作者：

Zhou, Huijuan ^{[1
]}

Chen, Yong ^{[1
,2
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

NONLINEAR DYNAMICS | 2021年 / 106卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Reverse-space-time derivative nonlinear Schrodinger equation; Darboux transformation; Breathers and rogue waves on the double-periodic background; SELF-PHASE MODULATION; KAUP-NEWELL; DARBOUX TRANSFORMATION; SOLITONS; DYNAMICS; AKNS;

D O I：

10.1007/s11071-021-06953-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrodinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.

引用

页码：3437 / 3451

页数：15

共 63 条

[1] INVERSE SCATTERING TRANSFORM FOR THE NONLOCAL REVERSE SPACE-TIME NONLINEAR SCHRODINGER EQUATION [J].

Ablowitz, M. J. ;

Feng, Bao-Feng ;

Luo, Xu-Dan ;

Musslimani, Z. H. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 196 (03) :1241-1267

[2] Integrable Nonlocal Nonlinear Equations [J].

Ablowitz, Mark J. ;

Musslimani, Ziad H. .

STUDIES IN APPLIED MATHEMATICS, 2017, 139 (01) :7-59

[3] Integrable Nonlocal Nonlinear Schrodinger Equation [J].

Ablowitz, Mark J. ;

Musslimani, Ziad H. .

PHYSICAL REVIEW LETTERS, 2013, 110 (06)

[4] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127

[5] SOLITON PROPAGATION IN 3 COUPLED NONLINEAR SCHRODINGER-EQUATIONS [J].

ABRAROV, RM ;

CHRISTIANSEN, PL ;

DARMANYAN, SA ;

SCOTT, AC ;

SOERENSEN, MP .

PHYSICS LETTERS A, 1992, 171 (5-6) :298-302

[6] NON-LINEAR ASYMMETRIC SELF-PHASE MODULATION AND SELF-STEEPENING OF PULSES IN LONG OPTICAL-WAVEGUIDES [J].

ANDERSON, D ;

LISAK, M .

PHYSICAL REVIEW A, 1983, 27 (03) :1393-1398

[7] Matter rogue waves [J].

Bludov, Yu. V. ;

Konotop, V. V. ;

Akhmediev, N. .

PHYSICAL REVIEW A, 2009, 80 (03)

[8] Characterizing JONSWAP rogue waves and their statistics via inverse spectral data [J].

Calini, Annalisa ;

Schober, Constance M. .

WAVE MOTION, 2017, 71 :5-17

[9] Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation [J].

Chen, Jinbing ;

Pelinovsky, Dmitry E. ;

White, Robert E. .

PHYSICAL REVIEW E, 2019, 100 (05)

[10] Rogue periodic waves of the modified KdV equation [J].

Chen, Jinbing ;

Pelinovsky, Dmitry E. .

NONLINEARITY, 2018, 31 (05) :1955-1980

← 1 2 3 4 5 6 7 →