A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential

被引：33

作者：

Li, Li ^{[1
]}

Yu, Fajun ^{[1
,2
]}

Duan, Chaonan ^{[1
,2
]}

机构：

[1] Shenyang Normal Univ, Sch Math & Systemat Sci, Shenyang 110034, Peoples R China

[2] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 110卷

关键词：

Nonlocal Gross-Pitaevskii equation; Hirota bilinear method; Bright soliton solution; Time-dependent linear potential; MULTISOLITON SOLUTIONS;

D O I：

10.1016/j.aml.2020.106584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hirota bilinear method is studied in a lot of local equations, but there are few work to solve nonlocal equations with external potential by Hirota bilinear method. In this letter, we succeed to bilinearize the generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential through a nonstandard procedure and present more general bright soliton solutions, which describes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein condensations. Under some reasonable assumptions, one-bright-soliton and two-bright-soliton solutions are constructed analytically by the improved Hirota method. From the gauge equivalence, we can see the difference between the solutions of the nonlocal GP equation and the solutions of the local GP equation. (C) 2020 Elsevier Ltd. All rights reserved.

引用

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