Conservation laws of scaling-invariant field equations
Mathematical Physics
2008-11-26 v3 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0303066,
title = {Conservation laws of scaling-invariant field equations},
author = {Stephen C. Anco},
journal= {arXiv preprint arXiv:math-ph/0303066},
year = {2008}
}
Comments
18 pages, published version in J. Phys. A:Math. and Gen. (2003). Added discussion of vorticity conservation laws for fluid flow; corrected recursion formula and operator for vector mKdV conservation laws