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- Title
An infinite set of conservation laws for infinite symmetries.
- Authors
Rosenhaus, V.
- 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.
- Subjects
CONSERVATION laws (Mathematics); MATHEMATICAL symmetry; SET theory; PARTIAL differential equations; LIE algebras
- Publication
Theoretical & Mathematical Physics, 2007, Vol 151, Issue 3, p869
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-007-0072-6