The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 2
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
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