Conservation laws of scaling-invariant field equations

被引：41
|
作者：
Anco, SC [1 ]
机构：
[1] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 32期
关键词：
D O I：
10.1088/0305-4470/36/32/305
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A simple conservation law formula for field equations with a scaling symmetry is presented. The formula uses adjoint-symmetries of the given field equation and directly generates all local conservation laws for any conserved quantities having non-zero scaling weight. Applications to several soliton equations, fluid flow and nonlinear wave equations, Yang-Mills equations and the Einstein gravitational field equations are considered.
引用
收藏
页码：8623 / 8638
页数：16
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