2003/03/28 by Anco, Stephen C.
#70S10 #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.math-ph/0303066
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.