Bi-Hamiltonian structures of Toda type systems

2015/04/28 by Charalampos A. Evripidou, Evripidou, Charalampos A.
Mathematics · Physics and Astronomy · #17B80 #37J35 #70H06 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:17B80 #msc:37J35 #msc:70H06

paper · pdf · doi:10.48550/arxiv.1504.07531

13 pages. arXiv admin note: substantial text overlap with arXiv:1305.7329

arxiv created 2015/04/28 · arxiv updated 2015/04/29

Abstract

In this paper we define a family of systems which have similarities with the Toda lattice. We construct two Lax pair representations and the associate Poisson structures for these systems. These systems lie between the classical Toda lattice and the full Kostant-Toda lattice. A Hamiltonian and a bi-Hamiltonian structure for these systems is constructed and also master symmetries for some low dimensional cases are presented.

Citations

• On generalized Volterra systems

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