Geodesic
Conservation laws of evolution systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 163-171

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For evolution systems of differential equations, conserved currents, in particular trivial ones, are described in terms of their densities. A formula that can be regarded as an analog of Noether's theorem for non-Lagrangian systems is derived. An isomorphism is constructed between the space of conservation laws, i.e., the equivalence classes of the conserved currents with respect to the trivial currents, and the solution space of a certain strongly overdetermined system of linear differential equations. 
@article{TMF_1986_68_2_a0,
     author = {V. V. Zharinov},
     title = {Conservation laws of evolution systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--171},
     publisher = {mathdoc},
     volume = {68},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a0/}
}
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V. V. Zharinov. Conservation laws of evolution systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 163-171. http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a0/