On the systematic approach to the classification of differential equations by group theoretical methods

被引：36

作者：

Andriopoulos, K. ^{[1
]}

Dimas, S.

Leach, P. G. L. ^{[2
]}

Tsoubelis, D.

机构：

[1] Univ Patras, Ctr Res & Applicat Nonlinear Syst, Dept Math, GR-26500 Patras, Greece

[2] Univ KwaZulu Natal, Sch Math Sci, ZA-4000 Durban, South Africa

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 01期

关键词：

Complete symmetry groups; Lie remarkability; Monge-Ampere; Bateman and Born-Infeld equations; COMPLETE SYMMETRY GROUP; POINT SYMMETRIES; INTEGRABILITY;

D O I：

10.1016/j.cam.2008.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Complete symmetry groups enable one to characterise fully a given differential equation. By considering the reversal of an approach based upon complete symmetry groups we construct new classes of differential equations which have the equations of Bateman, Monge-Ampere and Born-Infeld as special cases. We develop a symbolic algorithm to decrease the complexity of the calculations involved. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：224 / 232

页数：9

共 29 条

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