Multi-soliton solutions and Breathers for the generalized coupled nonlinear Hirota equations via the Hirota method

被引：88

作者：

Jia, Ting-Ting ^{[1
]}

Chai, Yu-Zhen ^{[1
]}

Hao, Hui-Qin ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

来源：

SUPERLATTICES AND MICROSTRUCTURES | 2017年 / 105卷

基金：

中国国家自然科学基金;

关键词：

The generalized coupled nonlinear Hirota equations; The Hirota method; Symbolic computation; Multi-soliton solution and breather; BACKLUND TRANSFORMATION; SYMBOLIC COMPUTATION; SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; LAX PAIR; FIBERS; INTEGRABILITY; DYNAMICS; MODEL; WAVES;

D O I：

10.1016/j.spmi.2016.10.091

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Under investigation in this paper is the generalized coupled nonlinear Hirota (GCH) equations with addition effects by the Hirota method, which is better than the coupled nonlinear Schrodinger equations in eliciting optical solitons for increasing the bit rates. The bilinear form has been constructed, via which multi-solitons and breathers are derived. In particular, the three-bright soliton solution and breathers are derived and simulated via some pictures. The propagation characters are analyzed with the changes of the key parameters. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：172 / 182

页数：11

共 29 条

[1]

Ablowitz M., 2004, SOLITONS NONLINEAR E

[2]

Ablowitz M.J., 2003, Discrete and Continuous Nonlinear Schrodinger Systems

[3] Matter-Wave Bright Solitons in Spin-Orbit Coupled Bose-Einstein Condensates [J].

Achilleos, V. ;

Frantzeskakis, D. J. ;

Kevrekidis, P. G. ;

Pelinovsky, D. E. .

PHYSICAL REVIEW LETTERS, 2013, 110 (26)

[4]

[Anonymous], 1974, Sov. Phys. JETP

[5] Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method [J].

Bhrawy, A. H. ;

Abdelkawy, M. A. ;

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (04) :915-925

[6] Lax pair, conservation laws and solitons for a (2+1)-dimensional fourth-order nonlinear Schrodinger equation governing an α-helical protein [J].

Chai, Jun ;

Tian, Bo ;

Zhen, Hui-Ling ;

Sun, Wen-Rong .

ANNALS OF PHYSICS, 2015, 362 :671-683

[7] All exact travelling wave solutions of Hirota equation and Hirota-Maccari system [J].

Demiray, Seyma Tuluce ;

Pandir, Yusuf ;

Bulut, Hasan .

OPTIK, 2016, 127 (04) :1848-1859

[8] Anti-dark solitons for a variable-coefficient higher-order nonlinear Schrodinger equation in an inhomogeneous optical fiber [J].

Feng, Yu-Jie ;

Gao, Yi-Tian ;

Sun, Zhi-Yuan ;

Zuo, Da-Wei ;

Shen, Yu-Jia ;

Sun, Yu-Hao ;

Xue, Long ;

Yu, Xin .

PHYSICA SCRIPTA, 2015, 90 (04)

[9] Incompressible-Fluid Symbolic Computation and Backlund Transformation: (3+1)-Dimensional Variable-Coefficient Boiti-Leon-Manna-Pempinelli Model [J].

Gao, Xin-Yi .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (01) :59-61

[10] Backlund transformation and shock-wave-type solutions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid mechanics [J].

Gao, Xin-Yi .

OCEAN ENGINEERING, 2015, 96 :245-247

← 1 2 3 →