Theoretical and Mathematical Physics

, Volume 161, Issue 3, pp 1590–1598 | Cite as

The structure of polynomial conservation laws

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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 

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Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Institute of Mathematics with Computing Center, Ufa Science CenterRASUfaRussia
  2. 2.Landau Institute for Theoretical PhysicsRASChernogolovka, Moscow OblastRussia

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