Direct construction of conservation laws from field equations

被引：212

作者：

Anco, SC

Bluman, G

机构：

[1] Department of Mathematics, University of British Columbia, Vancouver, BC

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.78.2869

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This Letter presents an algorithm to obtain all local conservation laws for any system of field equations. The algorithm uses a formula which directly generates the conservation laws and does not depend on the system having a Lagrangian formulation, in contrast to Noether's theorem which requires Several examples are considered including dissipative systems inherently having no Lagrangian.

引用

页码：2869 / 2873

页数：5

共 6 条

[1] Derivation of conservation laws from nonlocal symmetries of differential equations [J].