Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation

被引：2
作者：
Ye, Wang-Chuan [2 ]
Li, Biao [1 ]
机构：
[1] Chinese Acad Sci, MM Key Lab, Beijing 100080, Peoples R China
[2] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 05期
基金：
中国国家自然科学基金;
关键词：
(2+1)-DIMENSIONAL NONLINEAR-SYSTEMS; SIMILARITY REDUCTIONS; BURGERS;
D O I：
10.1016/j.chaos.2009.03.186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the new symmetry group method developed by Lou et al. and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of the cylindrical Korteweg-de Vries (cKdV) equation are obtained. With the transformation groups, a type of group invariant solutions of cKdV equation can be derived from a simple one. Furthermore, some transformations from the cKdV equation to KP equation can also be discovered by this method. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：2623 / 2628
页数：6
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