Reliable analysis for nonlinear Schrodinger equations with a cubic nonlinearity and a power law nonlinearity

被引:57
作者
Wazwaz, AM [1 ]
机构
[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
关键词
nonlinear Schrodinger equation; cubic nonlinearity; power law nonlinearity; tanh method; sine-cosine method;
D O I
10.1016/j.mcm.2005.06.013
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The tanh method and the sine-cosine method are effectively used for reliable analysis for the nonlinear Schrodinger equations with cubic and power law nonlinearities. A variety of exact solutions with distinct structures are formally derived for each equation. The study reveals the power of the two proposed algorithms. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:178 / 184
页数:7
相关论文
共 16 条
[1]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4
[2]  
[Anonymous], 1980, DIRECT METHODS SOLIT
[3]  
Drazin PG., 1993, Solitons: An Introduction
[4]   PERIODIC-SOLUTIONS OF KDV EQUATION [J].
LAX, PD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (01) :141-188
[5]   SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS [J].
MALFLIET, W .
AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) :650-654
[6]   The tanh method .2. Perturbation technique for conservative systems [J].
Malfliet, W ;
Hereman, W .
PHYSICA SCRIPTA, 1996, 54 (06) :569-575
[7]   The tanh method .1. Exact solutions of nonlinear evolution and wave equations [J].
Malfliet, W ;
Hereman, W .
PHYSICA SCRIPTA, 1996, 54 (06) :563-568
[8]  
Wazwaz A.M., 2002, Partial differential equations: methods and applications
[9]  
Wazwaz A.M., 2003, APPL MATH COMPUT, V135, P311
[10]  
Wazwaz A. M., 2001, B I MATH ACAD SINICA, V29, P125