TY - JOUR
AU - Hentosh, O.Ye.
PY - 2015/12/19
Y2 - 2024/11/04
TI - The Bargmann type reduction for some Lax integrable two-dimensional generalization of the relativistic Toda lattice
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 7
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.7.2.155-171
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1394
SP - 155-171
AB - <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>
ER -