Physics – Mathematical Physics
Scientific paper
2003-03-28
J.Phys.A36:8623-8638,2003
Physics
Mathematical Physics
18 pages, published version in J. Phys. A:Math. and Gen. (2003). Added discussion of vorticity conservation laws for fluid flo
Scientific paper
10.1088/0305-4470/36/32/305
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.
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