Exact Analytical Solutions for the (2+1)-Dimensional Generalized Variable-Coefficients Gross-Pitaevskii Equation

被引：0

作者：

Jing, Jian-Chun ^{[1
]}

Li, Biao ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2012年 / 50卷 / 03期

基金：

中国国家自然科学基金;

关键词：

NONLINEAR SCHRODINGER-EQUATION; EXPANSION METHOD; SOLITONS; PLASMA;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we extend the generalized sub-equation method to investigate some exact analytical solutions for the (2+1)-dimensional (2D) generalized variable-coefficients Gross-Pitaevskii equation (GPE). With the help of symbolic computations, we present five general exact analytical solutions of the 2D GPE, which include bright solitons, dark solitons, and Jacobi elliptic function solutions. Nonlinear dynamics of the chirped soliton pulses is also investigated under the different regimes of soliton management.

引用

页码：413 / 424

页数：12

共 22 条

[1]

[Anonymous], 2003, Optical Solitons

[2] Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation [J].

Atre, Rajneesh ;

Panigrahi, Prasanta K. ;

Agarwal, G. S. .

PHYSICAL REVIEW E, 2006, 73 (05)

[3] SOLITONS IN LASER PHYSICS [J].

BULLOUGH, RK ;

JACK, PM ;

KITCHENSIDE, PW ;

SAUNDERS, R .

PHYSICA SCRIPTA, 1979, 20 (3-4) :364-381

[4] Relaxation and self-organization in two-dimensional plasma and neutral fluid flow systems [J].

Das, Amita .

PHYSICS OF PLASMAS, 2008, 15 (02)

[5]

Guo WM, 2007, COMMUN THEOR PHYS, V48, P987

[6]

Hasegawa A., 1992, OPTICAL SOLITONS FIB

[7] Dynamics and modulation of ring dark solitons in two-dimensional Bose-Einstein condensates with tunable interaction [J].

Hu, Xing-Hua ;

Zhang, Xiao-Fei ;

Zhao, Dun ;

Luo, Hong-Gang ;

Liu, W. M. .

PHYSICAL REVIEW A, 2009, 79 (02)

[8] TOPOLOGY OF THE RESONATING VALENCE-BOND STATE - SOLITONS AND HIGH-TC SUPERCONDUCTIVITY [J].

KIVELSON, SA ;

ROKHSAR, DS ;

SETHNA, JP .

PHYSICAL REVIEW B, 1987, 35 (16) :8865-8868

[9] A generalized sub-equation expansion method and its application to the nonlinear Schrodinger equation in inhomogeneous optical fiber media [J].

Li, Biao .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (07) :1187-1201

[10] Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation [J].

Li, Biao ;

Chen, Yong .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2006, 61 (10-11) :509-518

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