The structure of polynomial conservation laws
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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.
Keywordsdiscrete equation conservation law chain
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- 3.Yu. Mozer, Integrable Hamiltonian Systems and Spectral Theory [in Russian], RKhD, Izhevsk (1999).Google Scholar