Inverse Scattering Transform of the Coupled Sasa-Satsuma Equation by Riemann-Hilbert Approach

被引：30
|
作者：
Wu, Jian-Ping [1 ]
Geng, Xian-Guo [2 ]
机构：
[1] Zhengzhou Univ Aeronaut, Sch Sci, Zhengzhou 450046, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 67卷 / 05期
基金：
中国国家自然科学基金;
关键词：
inverse scattering transform; Riemann-Hilbert approach; coupled Sasa-Satsuma equation; soliton solution; NONLINEAR SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; SYSTEM; DARK;
D O I：
10.1088/0253-6102/67/5/527
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The inverse scattering transform of a coupled Sasa Satsuma equation is studied via Riemann Hilbert approach. Firstly, the spectral analysis is performed for the coupled Sasa Satsuma equation, from which a RiemannHilbert problem is formulated. Then the Riemann Hilbert problem corresponding to the reflection-less case is solved. As applications, multi-soliton solutions are obtained for the coupled Sasa Satsuma equation. Moreover, some figures are given to describe the soliton behaviors, including breather types, single-hump solitons, double-hump solitons, and two-bell solitons.
引用
收藏
页码：527 / 534
页数：8
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