@article{Hentosh_2015, title={The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice}, volume={7}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1394}, DOI={10.15330/cmp.7.2.155-171}, abstractNote={<p>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.</p>}, number={2}, journal={Carpathian Mathematical Publications}, author={Hentosh, O.Ye.}, year={2015}, month={Dec.}, pages={155–171} }