Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrodinger equation

被引：4
|
作者：
Wu, Jianping [1 ]
机构：
[1] Zhengzhou Univ Aeronaut, Sch Sci, Zhengzhou 450046, Henan, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 02期
关键词：
Sasa– Satsuma equation; Riemann– Hilbert problem; Spectral structure; Soliton structure;
D O I：
10.1007/s13324-021-00532-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Riemann-Hilbert problem of the Sasa-Satsuma higher-order nonlinear Schrodinger equation is investigated, from which spectral and soliton structures are discussed in detail. In addition, an algebra technique is developed to illustrate the soliton structures using Mathematica symbolic computations by choosing suitable parameters, including breather-bell soliton, double-hump soliton, and bell-to-breather soliton interactions. The results show that the spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrodinger equation are more complicated than many other nonlinear Schrodinger type equations.
引用
收藏
页数：12
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