Phys. Rev. Lett. 78, 2869–2873 (1997)Direct Construction of Conservation Laws from Field EquationsReceived 7 October 1996; published in the issue dated 14 April 1997 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/doi/10.1103/PhysRevLett.78.2869
DOI:
10.1103/PhysRevLett.78.2869
PACS:
03.40.Kf, 11.10.Cd, 11.30.-j
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