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：

CommunicationsinTheoreticalPhysics | 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：

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

页码：5 / 14

页数：10

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