Geodesic
The~structure of polynomial conservation laws
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 318-326

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We consider periodic closures of integrable chains. We establish a compact formula for the generating function of the conservation laws. This generating function is common to classical integrable chains related to various second-order spectral problems. We study the stabilization problem for the form of the conservation laws in the limit as the closure period tends to infinity.
Keywords: discrete equation, conservation law
Mots-clés : chain. 
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     author = {R. N. Garifullin and A. B. Shabat},
     title = {The~structure of polynomial conservation laws},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {161},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a1/}
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R. N. Garifullin; A. B. Shabat. The~structure of polynomial conservation laws. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 318-326. http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a1/