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

被引：0
|
作者：
Tao Xu
Guoliang He
机构：
[1] Zhengzhou University of Light Industry,School of Mathematics and Information Science
来源：
Nonlinear Dynamics | 2020年 / 100卷
关键词：
The coupled derivative nonlinear Schrödinger equation; Darboux transformation; Conservation laws; Modulation instability; Semirational solutions;
D O I：
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学科分类号：
摘要：
For exploring the coupled derivative nonlinear Schrödinger (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.
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页码：2823 / 2837
页数：14
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