Rogue waves and nonzero background solutions for the Gross-Pitaevskii equation with a parabolic potential

被引：1
作者：
Xie, Jiajie [1 ,2 ]
Zhang, Da-jun [1 ,2 ]
Zhao, Xuehui [3 ,4 ,5 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
[3] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[4] Inner Mongolia Normal Univ, Ctr Appl Math Sci, Hohhot 010022, Peoples R China
[5] Inner Mongolia Normal Univ, Lab Infinite dimens Hamiltonian Syst & its Algorit, Hohhot 010022, Peoples R China
来源：
PHYSICA SCRIPTA | 2024年 / 99卷 / 11期
关键词：
Gross-Pitaevskii equation; rogue wave; nonzero background; bilinear; gauge transformation; FESHBACH RESONANCES; SOLITONS; VORTEX;
D O I：
10.1088/1402-4896/ad7f9d
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper an integrable Gross-Pitaevskii equation with a parabolic potential and a gain term is investigated. Its solutions with a nonzero background are derived. These solutions are constructed by using biliearization reduction approach and connections between the nonlinear Schr & ouml;dinger equation and the Gross-Pitaevskii equation. The solutions are presented in double-Wronskian form and are classified in terms of canonical forms of a certain matrix. Various breathers and rogue waves are analyzed and illustrated.
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页数：16
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