Riemann-Hilbert approach and N-soliton solutions of the coupled generalized Sasa-Satsuma equation

被引：8
|
作者：
Wu, Fan [1 ]
Huang, Lin [1 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2022年 / 110卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Coupled generalized Sasa-Satsuma equation; Riemann-Hilbert method; N-soliton solutions; TRANSFORM; WAVES;
D O I：
10.1007/s11071-022-07774-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We investigate the initial value problem for the coupled generalized Sasa-Satsuma equation. Firstly, based on the spectral analysis from Lax pair, we obtain desired analytic spectral functions, and a Riemann-Hilbert problem on the real line is formulated. Solving the special Riemann-Hilbert problem with reflectionless case, the N-soliton solutions of the coupled generalized Sasa-Satsuma equation are derived. In addition, by choosing suitable parameters, the structures of single-soliton solution and double-soliton solution are graphically presented.
引用
收藏
页码：3617 / 3627
页数：11
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