New soliton and periodic solutions of (1+2)-dimensional nonlinear Schrodinger equation with dual-power law nonlinearity

被引：42

作者：

Zhang, Li-Hua ^{[1
]}

Si, Jian-Guo ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Schrodinger equation; Dual-power law nonlinearity; Soliton solutions; Stability; TRAVELING-WAVE SOLUTIONS; VARIABLE-COEFFICIENTS; 1-SOLITON SOLUTION; CONSTRUCTION; TERMS; MEDIA;

D O I：

10.1016/j.cnsns.2009.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the aid of symbolic computation, the new generalized algebraic method is extended to the (1 + 2)-dimensional nonlinear Schrodinger equation (NLSE) with dual-power law nonlinearity for constructing a series of new exact solutions. Because of the dual-power law nonlinearity, the equation cannot be directly dealt with by the method and require some kinds of techniques. By means of two proper transformations, we reduce the NLSE to an ordinary differential equation that is easy to solve and find a rich variety of new exact solutions for the equation, which include soliton solutions, combined soliton solutions, triangular periodic solutions and rational function solutions. Numerical simulations are given for a solitary wave solution to illustrate the time evolution of the solitary creation. Finally, conditional stability of the solution in Lyapunov's sense is discussed. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2747 / 2754

页数：8

共 27 条

[1]

Ablowitz M., 1981, SOLITONS INVERSE SCA, DOI [10.1137/1.9781611970883, DOI 10.1137/1.9781611970883]

[2]

[Anonymous], 1980, DIRECT METHODS SOLIT

[3] A new generalized algebraic method and its application in nonlinear evolution equations with variable coefficients [J].

Bai, CL ;

Bai, CJ ;

Zhao, H .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (04) :211-220

[4] Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities [J].

Belmonte-Beitia, Juan ;

Perez-Garcia, Victor M. ;

Vekslerchik, Vadym ;

Torres, Pedro J. .

PHYSICAL REVIEW LETTERS, 2007, 98 (06)

[5]

Belmonte-Beitia J, 2008, DISCRETE CONT DYN-B, V9, P221

[6] THE STABILITY OF INTERNAL SOLITARY WAVES [J].

BENNETT, DP ;

BROWN, RW ;

STANSFIELD, SE ;

STROUGHAIR, JD ;

BONA, JL .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1983, 94 (SEP) :351-379

[7] 1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media [J].

Biswas, Anjan .

PHYSICS LETTERS A, 2008, 372 (38) :5941-5943

[8] 1-Soliton solution of 1+2 dimensional nonlinear Schrodinger's equation in power law media [J].

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :1830-1833

[9] An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model [J].

Chen, Yong ;

Li, Biao .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (02) :242-255

[10]

Drazin P.G., 1993, Solitons, An Introduction

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