The coupled derivative nonlinear Schrodinger equation: conservation laws, modulation instability and semirational solutions

被引：16
作者：
Xu, Tao [1 ]
He, Guoliang [1 ]
机构：
[1] Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2020年 / 100卷 / 03期
基金：
中国国家自然科学基金;
关键词：
The coupled derivative nonlinear Schrodinger equation; Darboux transformation; Conservation laws; Modulation instability; Semirational solutions; SEMI-RATIONAL SOLUTIONS; ROGUE WAVES; DARBOUX TRANSFORMATION; PARALLEL;
D O I：
10.1007/s11071-020-05679-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
For exploring the coupled derivative nonlinear Schrodinger (DNLS) equation more systematically, we give the infinitely many conservation laws of it. Then, the modulation instability of the plane wave solutions for the coupled system is discussed. The higher-order semirational solutions, which can be completely classified as three types, for the coupled DNLS equation are constructed by utilizing the particular vector solutions of the Lax pair and the Darboux transformation.
引用
收藏
页码：2823 / 2837
页数：15
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