Exotic vector freak waves in the nonlocal nonlinear Schr?dinger equation

被引：37

作者：

Wang, Xiu-Bin ^{[1
]}

Tian, Shou-Fu ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 442卷

基金：

中国国家自然科学基金;

关键词：

The nonlocal nonlinear Schr?dinger; equation; Freak waves; Darboux transformation; A variable separation technique; ROGUE WAVES; SCHRODINGER-EQUATIONS; INVERSE SCATTERING; REAL SPECTRA; SOLITON; DYNAMICS;

D O I：

10.1016/j.physd.2022.133528

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, general higher-order freak wave solutions of the nonlocal nonlinear Schrodinger equation (NLSE) with parity-time symmetric can be calculated theoretically via a Darboux transformation and a separation of variable technique. This family of solutions are given in separation of variables form. Moreover, in order to understand these obtained solutions better, the main characteristics of two lowest freak wave solutions are discussed clearly and conveniently. They show that the dynamics of these solutions exhibits rich patterns, most of which have no counterparts in the corresponding local equation.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：8

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