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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2006 Volume 146, Number 2, Pages 208–221 (Mi tmf2032)
This article is cited in 8 papers

C-Series Discrete Chains

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: We find analogues of the generalized two-dimensional Toda chains of the $C_N$ and $\widetilde C_N$ series with three discrete independent variables and give Lax pairs for these chains.

Keywords: discrete Toda chains, integrable boundary conditions, discrete hyperbolic equations, Laplace invariants, Lax pair, simple Lie algebras.

Received: 02.04.2005

DOI: 10.4213/tmf2032


 English version: Theoretical and Mathematical Physics, 2006, 146:2, 170–182

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© Steklov Math. Inst. of RAS, 2025