Direct construction of conservation laws from field equations. (English) Zbl 0948.58015

Summary: 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.


58E30 Variational principles in infinite-dimensional spaces
35L99 Hyperbolic equations and hyperbolic systems
Full Text: DOI


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