N solutions for a derivative nonlinear Schrodinger-type equation via Riemann-Hilbert approach

被引：3
作者：
Geng, Xianguo [1 ]
Nie, Hui [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, 100 Kexue Rd, Zhengzhou 450001, Henan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 04期
基金：
中国国家自然科学基金;
关键词：
derivative nonlinear Schrodinger-type equation; exact solutions; Riemann-Hilbert approach;
D O I：
10.1002/mma.4693
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse scattering transform for the derivative nonlinear Schrodinger-type equation is studied via the Riemann-Hilbert approach. In the direct scattering process, the spectral analysis of the Lax pair is performed, from which a Riemann-Hilbert problem is established for the derivative nonlinear Schrodinger-type equation. In the inverse scattering process, N-soliton solutions of the derivative nonlinear Schrodinger-type equation are obtained by solving Riemann-Hilbert problems corresponding to the reflectionless cases. Moreover, the dynamics of the exact solutions are discussed.
引用
收藏
页码：1653 / 1660
页数：8
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