Riemann-Hilbert approach and N-soliton solutions for a generalized Sasa-Satsuma equation

被引：144
作者：
Geng, Xianguo [1 ]
Wu, Jianping [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
来源：
WAVE MOTION | 2016年 / 60卷
基金：
中国国家自然科学基金;
关键词：
Riemann-Hilbert approach; Generalized Sasa-Satsuma equation; N-soliton solutions;
D O I：
10.1016/j.wavemoti.2015.09.003
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A generalized Sasa-Satsuma equation on the line is studied via the Riemann-Hilbert approach. Firstly we derive a Lax pair associated with a 3 x 3 matrix spectral problem for the generalized Sasa-Satsuma equation. Then we give the spectral analysis of the Lax pair, from which a Riemann-Hilbert problem is formulated. Moreover, by solving the particular Riemann-Hilbert problems with vanishing scattering coefficients, N-soliton solutions are obtained for the generalized Sasa-Satsuma equation. In addition, the N-soliton solutions of the generalized Sasa-Satsuma equation are reduced to those of the Sasa-Satsuma equation and a new complex mKdV equation, respectively. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：62 / 72
页数：11
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