Group analysis of KdV equation with time dependent coefficients

被引：27
作者：
Johnpillai, A. G. [1 ]
Khalique, C. M. [1 ]
机构：
[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 12期
关键词：
Generalized KdV equation; Solitons; Lie symmetries; Optimal system; Group-invariant solutions; GENERALIZED EVOLUTION; 1-SOLITON SOLUTION;
D O I：
10.1016/j.amc.2010.05.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the generalized KdV equation having time dependent variable coefficients of the damping and dispersion from the Lie group-theoretic point of view. Lie group classification with respect to the time dependent coefficients is performed. The optimal system of one-dimensional subalgebras of the Lie symmetry algebras are obtained. These subalgebras are then used to construct a number of similarity reductions and exact group-invariant solutions, including soliton solutions, for some special forms of the equations. (C) 2010 Elsevier Inc. All rights reserved.
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收藏
页码：3761 / 3771
页数：11
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