This article is cited in 17 papers

150th anniversary of S.V. Kovalevskaya

Multiple Hamiltonian Structures for Toda Systems of Type $A-B-C$

P. A. Damianou

Department of Mathematics and Statistics, University of Cyprus, P. O. Box 537, Nicosia, Cyprus

Abstract: Results on the finite nonperiodic $A_n$ Toda lattice are extended to the Bogoyavlensky–Toda systems of type $B_n$ and $C_n$. The investigated areas include master symmetries, recursion operators, higher Poisson brackets and invariants. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.

MSC: 34A05, 58F05, 58F07

Received: 12.10.1999

Language: English

DOI: 10.1070/RD2000v005n01ABEH000121

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