Stephen C Anco 2003 J. Phys. A: Math. Gen. 36 8623 doi:10.1088/0305-4470/36/32/305
Stephen C Anco
Show affiliationsA 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.
70S15 Yang-Mills and other gauge theories
70S10 Symmetries and conservation laws
35Q51 Solitons (See also 37K40)
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
Issue 32 (15 August 2003)
Received 28 March 2003, in final form 26 June 2003
Published 29 July 2003
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