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

页码：8623 / 8638

页数：16

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