Multi-soliton solutions for the coupled modified nonlinear Schrodinger equations via Riemann-Hilbert approach

被引：17

作者：

Kang, Zhou-Zheng ^{[1
,2
]}

Xia, Tie-Cheng ^{[1
]}

Ma, Xi ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China

来源：

CHINESE PHYSICS B | 2018年 / 27卷 / 07期

基金：

中国国家自然科学基金;

关键词：

coupled modified nonlinear Schrodinger equations; Riemann-Hilbert approach; multi-soliton solutions; N-SOLITON SOLUTIONS;

D O I：

10.1088/1674-1056/27/7/070201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The coupled modified nonlinear Schrodinger equations are under investigation in this work. Starting from analyzing the spectral problem of the Lax pair, a Riemann-Hilbert problem for the coupled modified nonlinear Schrodinger equations is formulated. And then, through solving the obtained Riemann-Hilbert problem under the conditions of irregularity and reflectionless case, N-soliton solutions for the equations are presented. Furthermore, the localized structures and dynamic behaviors of the one-soliton solution are shown graphically.

引用

页数：8

共 27 条

[1]

[Anonymous], 1974, Sov. Phys. JETP

[2] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[3]

Geng X G, 2017, MATH METH APPL SCI, V1

[4] Riemann-Hilbert approach and N-soliton solutions for a generalized Sasa-Satsuma equation [J].

Geng, Xianguo ;

Wu, Jianping .

WAVE MOTION, 2016, 60 :62-72

[5] Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrodinger equation [J].

Guo, Boling ;

Ling, Liming .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)

[6] Bright-Dark Mixed N-Soliton Solution of Two-Dimensional Multicomponent Maccari System [J].

Han, Zhong ;

Chen, Yong .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (08) :745-755

[7] Bright-Dark Mixed N-Soliton Solution of the Two-Dimensional Maccari System [J].

Han, Zhong ;

Chen, Yong .

CHINESE PHYSICS LETTERS, 2017, 34 (07)

[8] General N-Dark Soliton Solutions of the Multi-Component Mel'nikov System [J].

Han, Zhong ;

Chen, Yong ;

Chen, Junchao .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2017, 86 (07)

[9]

Hu B B, 2018, MATH METHOD APPL SCI, V2012, P1

[10] Dark and anti-dark vector solitons of the coupled modified nonlinear Schrodinger equations from the birefringent optical fibers [J].

Li, Min ;

Tian, Bo ;

Liu, Wen-Jun ;

Jiang, Yan ;

Sun, Kun .

EUROPEAN PHYSICAL JOURNAL D, 2010, 59 (02) :279-289

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