Double reduction of PDEs from the association of symmetries with conservation laws with applications

被引：98

作者：

Sjoberg, A. ^{[1
]}

机构：

[1] Univ Johannesburg, Dept Appl Math, ZA-2006 Auckland Pk, South Africa

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 184卷 / 02期

关键词：

partial differential equations; Lie point symmetries; conservation laws; double reduction; association; heat equation; BBM equation; sine-Gordon equation; one dimensional gas dynamics;

D O I：

10.1016/j.amc.2006.06.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the definition of the association of symmetries of partial differential equations with conservation laws [A. Kara, F. Mahomed, The relationship between symmetries and conservation laws, Int. J. Theor. Phys. 39 (1) (2000) 23-40] to find a double reduction of partial differential equations with two independent variables. Applications to the linear heat equation, the BBM equation, the sine-Gordon equation and a system of differential equations from one dimensional gas dynamics illustrate the new theory. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：608 / 616

页数：9

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