On general rogue waves in the parity-time-symmetric nonlinear Schrodinger equation

被引：15
|
作者：
Yang, Bo [1 ]
Yang, Jianke [1 ]
机构：
[1] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 02期
基金：
美国国家科学基金会;
关键词：
Integrable systems; Rogue waves; Parity-time-symmetric nonlinear; Schrodinger equation; Bilinear method; NLS EQUATION; SOLITON; DYNAMICS;
D O I：
10.1016/j.jmaa.2020.124023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article addresses the question of general rogue-wave solutions in the nonlocal parity-time-symmetric nonlinear Schrodinger equation. By generalizing the previous bilinear method, large classes of rogue waves are derived as Gram determinants with Schur polynomial elements. It is shown that these rogue waves contain previously reported ones as special cases. More importantly, they contain many new rogue wave families. It is conjectured that the rogue waves derived in this article are all rogue-wave solutions in the parity-time-symmetric nonlinear Schrodinger equation. (C) 2020 Elsevier Inc. All rights reserved.
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收藏
页数：23
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