Construction of Multi-soliton Solutions of the N-Coupled Hirota Equations in an Optical Fiber

被引：29

作者：

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

Xia, Tie-Cheng ^{[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 LETTERS | 2019年 / 36卷 / 11期

基金：

中国国家自然科学基金;

关键词：

SOLITON-LIKE SOLUTIONS; DARBOUX TRANSFORMATIONS;

D O I：

10.1088/0256-307X/36/11/110201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work aims to study the N-coupled Hirota equations in an optical fiber under the zero boundary condition at infinity. By analyzing the spectral problem, a matrix Riemann?Hilbert problem on the real axis is strictly established. Then, by solving the presented matrix Riemann?Hilbert problem under the constraint of no reflection, the bright multi-soliton solutions to the N-coupled Hirota equations are explicitly gained.

引用

页数：5

共 25 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] Darboux Transformations, Higher-Order Rational Solitons and Rogue Wave Solutions for a (2+1)-Dimensional Nonlinear Schrodinger Equation [J].

Chen, Mi ;

Li, Biao ;

Yu, Ya-Xuan .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (01) :27-36

[3] EVIDENCE FOR AN IONIC MODEL OF 3D IMPURITIES IN METALS [J].

GARDNER, JA .

PHYSICAL REVIEW B, 1976, 14 (04) :1395-1400

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

Guo, Boling ;

Ling, Liming .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)

[5] Soliton-cnoidal interactional wave solutions for the reduced Maxwell-Bloch equations [J].

Huang, Li-Li ;

Qiao, Zhi-Jun ;

Chen, Yong .

CHINESE PHYSICS B, 2018, 27 (02)

[6] Nonlocal symmetry and exact solutions of the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation [J].

Huang, Li-Li ;

Chen, Yong .

CHINESE PHYSICS B, 2016, 25 (06)

[7] Mixed-type soliton solutions for the N-coupled Hirota system in an optical fiber [J].

Liu, Lei ;

Tian, Bo ;

Sun, Wen-Rong ;

Wu, Xiao-Yu .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (04) :807-819

[8] Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions [J].

Ma, Wen-Xiu .

COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05) :6359-6375

[9] Exact soliton solutions for a family of N coupled nonlinear Schrodinger equations in optical fiber media [J].

Nakkeeran, K .

PHYSICAL REVIEW E, 2000, 62 (01) :1313-1321

[10] Long-time asymptotics and the bright N-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach [J].

Wang, Deng-Shan ;

Wang, Xiaoli .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 :334-361

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