The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice

Abstract

The possibility of applying the method of reducing upon finite-dimensional invariant subspaces, generated by the eigenvalues of the associated spectral problem, to some two-dimensional generalization of the relativistic Toda lattice with the triple matrix Lax type linearization is investigated. The Hamiltonian property and Lax-Liouville integrability of the vector fields, given by this system, on the invariant subspace related with the Bargmann type reduction are found out.

Authors and Affiliations

O. Ye. Hentosh

Keywords

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  • EP ID EP541740
  • DOI 10.15330/cmp.7.2.155-171
  • Views 66
  • Downloads 0

How To Cite

O. Ye. Hentosh (2015). The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice. Карпатські математичні публікації, 7(2), 155-171. https://europub.co.uk/articles/-A-541740