Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrodinger equation

被引：37

作者：

Wu, Jianping ^{[1
]}

机构：

[1] Zhengzhou Univ Aeronaut, Sch Sci, Zhengzhou 450046, Henan, Peoples R China

来源：

NONLINEAR DYNAMICS | 2019年 / 96卷 / 01期

关键词：

Coupled Gerdjikov-Ivanov equation; Integrability aspects; Inverse scattering transform; Spectral structure; Soliton dynamics; INVERSE SCATTERING TRANSFORM; N-SOLITON SOLUTIONS; BOUSSINESQ; HIERARCHY; SYSTEMS; FORM;

D O I：

10.1007/s11071-019-04821-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new coupled Gerdjikov-Ivanov derivative nonlinear Schrodinger equation is proposed and its integrability aspects are studied by utilizing the inverse scattering transform. Firstly, by performing spectral analysis of the Lax pair, Riemann-Hilbert problems are constructed and their zero structures are investigated. Secondly, by solving a particular Riemann-Hilbert problem corresponding to the reflectionless case, multi-soliton solutions are obtained for the equation. Thirdly, the soliton interaction dynamics of the multi-soliton solutions are analyzed and graphically illustrated. These results not only show the efficiency of the method in this paper but also reveal that the proposed equation has complicated spectral structures.

引用

页码：789 / 800

页数：12

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