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An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family.
- Source :
-
Journal of Mathematical Physics . Mar2010, Vol. 51 Issue 3, p033522. 18p. - Publication Year :
- 2010
-
Abstract
- Starting from a four-by-four matrix spectral problem, an integrable coupling family of the Toda lattice systems is derived. A pair of discrete Hamiltonian operators is presented, and a sequence of the corresponding Hamiltonian functionals is constructed by using the discrete variational identity. Then, the bi-Hamiltonian structure of the obtained integrable coupling family is established. Finally, a nonisospectral integrable lattice family associated with the obtained integrable coupling family is given through nonisospectral discrete zero curvature representation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 51
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 48911880
- Full Text :
- https://doi.org/10.1063/1.3355200