High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem

被引：62

作者：

Yang, Bo ^{[1
]}

Chen, Yong ^{[1
]}

机构：

[1] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 45卷

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; Darboux transformation; High-order soliton solution; Asymptotic analysis; NONLINEAR SCHRODINGER-EQUATION; DISPERSIVE DIELECTRIC FIBERS; OPTICAL PULSES; TRANSMISSION; PROPAGATION;

D O I：

10.1016/j.nonrwa.2018.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A study of high-order soliton matrices for Sasa-Satsuma equation in the framework of the Riemann-Hilbert problem approach is presented. Through a standard dressing procedure, soliton matrices for simple zeros and elementary high-order zeros in the Riemann-Hilbert problem for Sasa-Satsuma equation are constructed, respectively. It is noted that pairs of zeros are simultaneously tackled in the situation of the high-order zeros, which is different from other NLS-type equation. Furthermore, the generalized Darboux transformation for Sasa-Satsuma equation is also presented. Moreover, collision dynamics along with the asymptotic behavior for the two-solitons are analyzed, and long time asymptotic estimations for the high-order one-soliton are concretely calculated. In this case, two double-humped solitons with nearly equal velocities and amplitudes can be observed. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：918 / 941

页数：24

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