Modulation instability, rogue waves and conservation laws in higher-order nonlinear Schr?dinger equation

被引：0
|
作者：
Min-Jie Dong [1 ]
Li-Xin Tian [1 ,2 ]
机构：
[1] School of Mathematical Sciences, Nanjing Normal University
[2] Nonlinear Scientific Research Center, Jiangsu University
来源：
Communications in Theoretical Physics | 2021年 / 73卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
In this paper, the modulation instability(MI), rogue waves(RWs) and conservation laws of the coupled higher-order nonlinear Schr?dinger equation are investigated. According to MI and the2?×?2 Lax pair, Darboux-dressing transformation with an asymptotic expansion method, the existence and properties of the one-, second-, and third-order RWs for the higher-order nonlinear Schr?dinger equation are constructed. In addition, the main characteristics of these solutions are discussed through some graphics, which are draw widespread attention in a variety of complex systems such as optics, Bose–Einstein condensates, capillary flow, superfluidity, fluid dynamics,and finance. In addition, infinitely-many conservation laws are established.
引用
收藏
页码：5 / 14
页数：10
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