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.

引用

页码：2623 / 2628

页数：6

共 42 条

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