APS » PROLA » Phys. Rev. Lett. » Volume 78 » Issue 15

Phys. Rev. Lett. 78, 2869 - 2873 (1997)

Direct Construction of Conservation Laws from Field Equations

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Stephen C. Anco and George Bluman
Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2

Received 7 October 1996

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.


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v78/p2869
DOI: 10.1103/PhysRevLett.78.2869
PACS: 03.40.Kf, 11.10.Cd, 11.30.-j

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