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2003 J. Phys. A: Math. Gen. 36 8623-8638 doi: 10.1088/0305-4470/36/32/305
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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.
PACS numbers: 03.50.−z, 04.20.−q, 05.45.Yv
Mathematics Subject Classification: 70S10
Print publication: Issue 32 (15 August 2003) |
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