Riemann-Hilbert Approach and N-Soliton Solutions for a Higher-Order Coupled Nonlinear Schrödinger System

被引:0
|
作者
Li, Xinshan [1 ]
Su, Ting [2 ]
机构
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
[2] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China
关键词
Higher-order coupled nonlinear Schrodinger system; Riemann-Hilbert approach; Spectral analysis; N-soliton solutions; SCHRODINGER SYSTEMS;
D O I
10.1007/s12346-023-00909-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the main work is to study the N-soliton solutions for a higher-order coupled nonlinear Schrodinger system by using the method of Riemann-Hilbert. In the process of research, starting with the spectral analysis for the x-part of the Lax pair, we formulate the Riemann-Hilbert problem for the higher-order coupled nonlinear Schrodinger system. Then we infer the symmetric relation of the potential matrix and scattering data, from which we can find the zero structure of the Riemann-Hilbert problem. Moreover, we can obtain the unified formulas of the N-soliton solutions for the higher-order coupled nonlinear Schrodinger system by solving the non-regular Riemann-Hilbert problem. In addition, the dynamical behaviors of the single-soliton solution, the two-soliton solutions and the three-soliton solutions are analyzed by choosing appropriate parameters.
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页数:20
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