Geodesic
Evolution systems on a~lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 391-405

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In the framework of the algebraic geometric approach to differential–difference equations, we study symmetries and conservation laws of evolutionary systems on multidimensional lattices. We describe conservation laws in terms of their characteristics.
Keywords: multidimensional integer lattice, difference jet, symmetry, conservation law, characteristics of conservation laws. 
@article{TMF_2008_157_3_a5,
     author = {V. V. Zharinov},
     title = {Evolution systems on a~lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--405},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a5/}
}
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V. V. Zharinov. Evolution systems on a~lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 391-405. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a5/