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

共 26 条

[1]

Ablowitz M A., 1991, Solitons, nonlinear evolution equations and inverse scattering, DOI [10.1017/CBO9780511623998, DOI 10.1017/CBO9780511623998]

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

Anco, SC ;

Bluman, G .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (05) :2361-2375

[3] Classification of local conservation laws of Maxwell's equations [J].

Anco, SC ;

Pohjanpelto, J .

ACTA APPLICANDAE MATHEMATICAE, 2001, 69 (03) :285-327

[4] Conserved currents of massless fields of spin s≥1/2 [J].

Anco, SC ;

Pohjanpelto, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2033) :1215-1239

[5] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].

Anco, SC ;

Bluman, G .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 :545-566

[6] Direct construction method for conservation laws of partial differential equations - Part II: General treatment [J].

Anco, SC ;

Bluman, G .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2002, 13 :567-585

[7] Direct construction of conservation laws from field equations [J].

Anco, SC ;

Bluman, G .

PHYSICAL REVIEW LETTERS, 1997, 78 (15) :2869-2873

[8]

ANCO SC, 1992, CONT MATH, V132, P27

[9] Classification of local generalized symmetries for the vacuum Einstein equations [J].

Anderson, IM ;

Torre, CG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 176 (03) :479-539

[10]

Bluman G. W., 2002, Symmetry and Integration Methods for Differential Equations

← 1 2 3 →