The vector soliton of the (3+1)-dimensional Gross-Pitaevskii equation with variable coefficients

被引：3

作者：

Wang, Xin ^{[1
]}

Zhang, Ling-Ling ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 06期

关键词：

Coupled Gross-Pitaevskii equation; Soliton solutions; Hirota bilinear method; Variable coefficient;

D O I：

10.1007/s11071-022-08121-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a variable coefficient (3+1)-dimensional Gross-Pitaevskii equation is used to study the propagation properties of solitons in Bose-Einstein condensation, as well as the influence of nonlinear terms of time modulation on the properties of solitons. Under reasonable assumptions, the 1-, 2-, 3-soliton solutions of Gross-Pitaevskii equation are constructed by Hirota bilinear method. The results indicate that they can be transformed into special soliton solutions (bright, dark and periodic) under certain conditions. On this basis, the figures of various soliton solutions are displayed, and the influence of coefficient function on soliton solutions is discussed. It is found that the influence of variable coefficients on the physical quantities of several types of soliton solutions has different emphases, and specific laws of influence are derived. In addition, in order to better understand the dynamic properties of soliton solutions, the asymptotic behavior of 2-, 3-soliton solutions is analyzed. Our research can provide a theoretical basis for the dynamics problem in Bose-Einstein condensation.

引用

页码：5693 / 5708

页数：16

共 50 条

[31] A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential [J].

Li, Li ;

Yu, Fajun ;

Duan, Chaonan .

APPLIED MATHEMATICS LETTERS, 2020, 110

[32] Multiple Periodic-Soliton Solutions for(3+1)-Dimensional Jimbo-Miwa Equation [J].

Zhaqilao~(1 .

CommunicationsinTheoreticalPhysics, 2008, 50 (11) :1036-1040

[33] Multiple Periodic-Soliton Solutions for (3+1)-Dimensional Jimbo-Miwa Equation [J].

Zhaqilao ;

Li Zhi-Bin .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (05) :1036-1040

[34] Soliton Solutions, Backlund Transformations and Lax Pair for a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids [J].

Wang Yun-Po ;

Tian Bo ;

Sun Wen-Rong ;

Zhen Hui-Ling ;

Jiang Yan ;

Sun Ya ;

Xie Xi-Yang .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (05) :551-557

[35] Backlund transformation and multiple soliton solutions for (3+1)-dimensional potential-YTSF equation [J].

Bai, CL ;

Liu, XQ ;

Zhao, H .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 42 (06) :827-830

[36] Painleve Analysis, Soliton Collision and Backlund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Fluids or Plasmas [J].

Xie Xi-Yang ;

Tian Bo ;

Jiang Yan ;

Zhong Hui ;

Sun Ya ;

Wang Yun-Po .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (01) :26-32

[37] Abundant soliton wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by bilinear analysis [J].

Tao, Guanqi ;

Manafian, Jalil ;

Ilhan, Onur Alp ;

Zia, Syed Maqsood ;

Agamalieva, Latifa .

MODERN PHYSICS LETTERS B, 2022, 36 (03)

[38] Soliton molecules, Y-type soliton and complex multiple soliton solutions to the extended (3+1)-dimensional Jimbo-Miwa equation [J].

Wang, Kang-Jia .

PHYSICA SCRIPTA, 2024, 99 (01)

[39] Painlevé Analysis, Soliton Collision and B?cklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev–Petviashvili Equation in Fluids or Plasmas [J].

解西阳 ;

田播 ;

江彦 ;

仲晖 ;

孙亚 ;

王云坡 .

CommunicationsinTheoreticalPhysics, 2014, 62 (07) :26-32

[40] Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3+1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients [J].

Chen, Wei-Qin ;

Guan, Qing-Feng ;

Jiang, Chao-Fan ;

Zhang, Fei-Fan ;

Wang, Lei .

COMPLEXITY, 2019, 2019

← 1 2 3 4 5 →