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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Yang, Bo¹  Yang, Jianke¹ 

[1] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA

关键词: Integrable systems;    Rogue waves;    Parity-time-symmetric nonlinear;    Schrodinger equation;    Bilinear method;   

DOI  :  10.1016/j.jmaa.2020.124023

来源: Elsevier

【 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.

【 授权许可】

Free