Binary Darboux transformation for the coupled Sasa-Satsuma equations

被引：52
作者：
Zhang, Hai-Qiang [1 ]
Wang, Yue [1 ]
Ma, Wen-Xiu [2 ,3 ,4 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
CHAOS | 2017年 / 27卷 / 07期
关键词：
NONLINEAR SCHRODINGER-EQUATIONS; OPTICAL SOLITONS; INTEGRABILITY; COMPUTATION; FIBER;
D O I：
10.1063/1.4986807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The binary Darboux transformation method is applied to the coupled Sasa-Satsuma equations, which can be used to describe the propagation dynamics of femtosecond vector solitons in the birefringent fibers with third-order dispersion, self-steepening, and stimulated Raman scattering higher-order effects. An N-fold iterative formula of the resulting binary Darboux transformation is presented in terms of the quasideterminants. Via the simplest case of this formula, a few of illustrative explicit solutions to the coupled Sasa-Satsuma equations are generated from vanishing and non-vanishing backgrounds, which include the breathers, single-and double-hump bright vector solitons, and anti-dark vector solitons. Published by AIP Publishing.
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页数：7
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