Direct Construction of Conservation Laws from Field Equations

Stephen C. Anco and George Bluman
Phys. Rev. Lett. 78, 2869 – Published 14 April 1997
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Abstract

This Letter presents an algorithm to obtain all local conservation laws for any system of field equations. The algorithm uses a formula which directly generates the conservation laws and does not depend on the system having a Lagrangian formulation, in contrast to Noether's theorem which requires a Lagrangian. Several examples are considered including dissipative systems inherently having no Lagrangian.

  • Received 7 October 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.2869

©1997 American Physical Society

Authors & Affiliations

Stephen C. Anco and George Bluman

  • Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2

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Vol. 78, Iss. 15 — 14 April 1997

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