This article is cited in 6 papers

An infinite set of conservation laws for infinite symmetries

V. Rosenhaus

California State University, Chico

Abstract: We consider partial differential equations of a variational problem admitting infinite-dimensional Lie symmetry algebras parameterized by arbitrary functions of dependent variables and their derivatives. We show that unlike differential systems with symmetry algebras parameterized by arbitrary functions of independent variables, these equations have infinite sets of essential conservation laws.

Keywords: infinite symmetries, conservation law.

DOI: 10.4213/tmf6064

 English version: Theoretical and Mathematical Physics, 2007, 151:3, 869–878

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