This article is cited in 2 papers

Infinite conservation laws for differential systems

V. Rosenhaus

California State University, Chico

Abstract: We study Lagrangian systems of partial differential equations admitting infinite-dimensional symmetry algebras parameterized by arbitrary functions of dependent variables. We show that these systems have infinite sets of essential conservation laws.

Keywords: infinite symmetry, conservation law.

DOI: 10.4213/tmf6391

 English version: Theoretical and Mathematical Physics, 2009, 160:1, 1042–1049

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