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This article is cited in 6 scientific papers (total 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.
Citation:
V. Rosenhaus, “An infinite set of conservation laws for infinite symmetries”, TMF, 151:3 (2007), 518–528; Theoret. and Math. Phys., 151:3 (2007), 869–878
Linking options:
https://www.mathnet.ru/eng/tmf6064https://doi.org/10.4213/tmf6064 https://www.mathnet.ru/eng/tmf/v151/i3/p518
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Abstract page: | 463 | Full-text PDF : | 223 | References: | 104 | First page: | 1 |
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