This article is cited in 1 paper

The structure of polynomial conservation laws

R. N. Garifullin^a, A. B. Shabat<sup>b

a</sup> Institute of Mathematics with Computing Center, Ufa Science Center, RAS, Ufa, Russia
^b Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia

Abstract: 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, chain.

Received: 30.04.2009

DOI: 10.4213/tmf6443

 English version: Theoretical and Mathematical Physics, 2009, 161:3, 1590–1598

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