An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model

被引：10
作者：
Chen, Yong [1 ,3 ]
Li, Biao [2 ,3 ]
机构：
[1] E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China
[2] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Peoples R China
[3] Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 02期
基金：
中国博士后科学基金;
关键词：
Subequation rational expansion method; Schrodinger equation; Like-solitons; Like-periodic function solution;
D O I：
10.1016/j.nahs.2006.04.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
To construct exact analytical solutions of nonlinear evolution equations, an extended subequation rational expansion method is presented and used to construct solutions of the nonlinear Schrodinger equation with varing dispersion, nonlinearity, and gain or absorption. As a result, many previous known results of the nonlinear Schrodinger equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. With computer simulation, the properties of a new non-travelling wave soliton-like solutions with coefficient functions and some elliptic function solutions are shown by some figures. (c) 2008 Published by Elsevier Ltd
引用
收藏
页码：242 / 255
页数：14
相关论文
共 35 条
[1]  
Ablowitz MJ., 1991, Nonlinear Evolution Equations and Inverse Scattering, DOI 10.1017/CBO9780511623998
[2]  
Bluman G. W., 1989, Symmetries and Differential Equations
[3]  
CHANDRASEKHARAN K, 1978, ELLIPTIC FUNCTION
[4]   Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation [J].
Chen, Y ;
Wang, Q .
PHYSICS LETTERS A, 2005, 347 (4-6) :215-227
[5]   Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations [J].
Chen, Y ;
Wang, Q ;
Li, B .
CHAOS SOLITONS & FRACTALS, 2005, 26 (01) :231-246
[6]  
Chen Y, 2005, Z NATURFORSCH A, V60, P1
[7]   Explicit exact solutions for a new generalized Hamiltonian amplitude equation with nonlinear terms of any order [J].
Chen, Y ;
Li, B ;
Zhang, HQ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2004, 55 (06) :983-993
[8]   Jacobi elliptic function rational expansion method with symbolic computation to construct new doubly-periodic solutions of nonlinear evolution equations [J].
Chen, Y ;
Wang, Q ;
Li, B .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (09) :529-536
[9]   Auto-Backlund transformation and exact solutions for modified nonlinear dispersive mK(m, n) equations [J].
Chen, Y ;
Li, B ;
Zhang, HQ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :693-698
[10]  
Chen Y, 2003, COMMUN THEOR PHYS, V39, P135
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