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

Karpatsʹkì Matematičnì Publìkacìï

O.Ye. Hentosh¹ 

[1] Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine;

关键词: relativistic toda lattice;    triple lax type linearization;    invariant reduction;    symplectic structure;    liouville integrability;   

DOI  :  10.15330/cmp.7.2.155-171

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown