Conservation laws of scaling-invariant field equations
SC Anco - Journal of Physics A: Mathematical and General, 2003 - iopscience.iop.org
Journal of Physics A: Mathematical and General, 2003•iopscience.iop.org
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.
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.
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.
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