Some localized wave solutions for the coupled Gerdjikov-Ivanov equation

被引：14

作者：

Dong, Min-Jie ^{[1
]}

Tian, Li-Xin ^{[1
,2
]}

Wei, Jing-Dong ^{[3
]}

Wang, Yun ^{[4
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing, Jiangsu, Peoples R China

[2] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang, Jiangsu, Peoples R China

[3] Jiangsu Univ, Sch Math Sci, Zhenjiang, Jiangsu, Peoples R China

[4] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 122卷

基金：

中国国家自然科学基金;

关键词：

Lax pair; The Darboux transformation; The Darboux-dressing transformation; Localized wave solutions; MODULATION; SYSTEMS;

D O I：

10.1016/j.aml.2021.107483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The coupled Gerdjikov-Ivanov equation is investigated in this paper, which plays an important role in theoretical physics. According Lax pair, Darboux transformation, Darboux-dressing transformation and asymptotic expansion, some localized waves (breather wave, rogue waves and novel vector rogue waves) are obtained. Our work has great significance to theoretical experiments of the rogue wave generation mechanism and propagation trajectory. (C) 2021 Published by Elsevier Ltd.

引用

页数：7

共 19 条

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

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC ;

SEGUR, H .

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

[2] INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD [J].

CHEN, HH ;

LEE, YC ;

LIU, CS .

PHYSICA SCRIPTA, 1979, 20 (3-4) :490-492

[3] EXACT-SOLUTIONS OF THE MULTIDIMENSIONAL DERIVATIVE NONLINEAR SCHRODINGER-EQUATION FOR MANY-BODY SYSTEMS NEAR CRITICALITY [J].

CLARKSON, PA ;

TUSZYNSKI, JA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4269-4288

[4] Modulation instability, rogue waves and conservation laws in higher-order nonlinear Schrodinger equation [J].

Dong, Min-Jie ;

Tian, Li-Xin .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 73 (02)

[5] Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation [J].

Fan, EG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (39) :6925-6933

[6] Integrable evolution systems based on Gerdjikov-Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation [J].

Fan, EG .

JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (11) :7769-7782

[7]

Gerdjikov V. S., 1983, Bulgarian Journal of Physics, V10, P130

[8] Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation [J].

He, Bin ;

Meng, Qing .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) :1783-1790

[9] Soliton, breather and rogue wave solutions of the coupled Gerdjikov-Ivanov equation via Darboux transformation [J].

Ji, Ting ;

Zhai, Yunyun .

NONLINEAR DYNAMICS, 2020, 101 (01) :619-631

[10] MODULATION OF WATER-WAVES IN NEIGHBORHOOD OF KH ALMOST EQUAL TO 1.363 [J].

JOHNSON, RS .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1977, 357 (1689) :131-141

← 1 2 →