Bargmann Type Systems for the Generalization of Toda Lattices
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Fang& Lu, Liping. 2014. Bargmann Type Systems for the Generalization of Toda Lattices. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-460581
Modern Language Association (MLA)
Li, Fang& Lu, Liping. Bargmann Type Systems for the Generalization of Toda Lattices. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-460581
American Medical Association (AMA)
Li, Fang& Lu, Liping. Bargmann Type Systems for the Generalization of Toda Lattices. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-460581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460581