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

O. Ye. Hentosh

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.

Keywords


relativistic Toda lattice, triple Lax type linearization, invariant reduction, symplectic structure, Liouville integrability

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