Geodesic
An~infinite set of conservation laws for infinite symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 518-528

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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. 
@article{TMF_2007_151_3_a16,
     author = {V. Rosenhaus},
     title = {An~infinite set of conservation laws for infinite symmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {518--528},
     publisher = {mathdoc},
     volume = {151},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a16/}
}
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V. Rosenhaus. An~infinite set of conservation laws for infinite symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 518-528. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a16/