Bargmann Type Systems for the Generalization of Toda Lattices

Fang Li and Liping Lu

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

Abstract:

Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of finite-dimensional Hamiltonian systems. The generating function of the integrals of motion is presented, by which the symplectic map and these finite-dimensional Hamiltonian systems are further proved to be completely integrable in the Liouville sense. Finally, the representation of solutions for a lattice equation in the discrete hierarchy is obtained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:287529

DOI: 10.1155/2014/287529

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