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

Oksana Ye. Hentosh | Zendy

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

Author(s) -

Oksana Ye. Hentosh

Publication year - 2015

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.7.2.155-171

Subject(s) - mathematics , integrable system , eigenvalues and eigenvectors , invariant subspace , toda lattice , pure mathematics , lax pair , linear subspace , linearization , mathematical physics , subspace topology , hamiltonian (control theory) , lattice (music) , mathematical analysis , physics , quantum mechanics , nonlinear system , mathematical optimization , acoustics

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.

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