On some integrable systems related to the Toda lattice

Journal of Physics A: Mathematical and General

Volumn 30, Issue 6, 1997, Pages 2235-2249

  Suris, Yuri B ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039646362     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/6/041     Document Type: Article

References (12)

1. Yamilov R I 1993 Classification of Toda-type scalar lattices Nonlinear Evolution Equations and Dynamical Systems (Proc. 8th Int. Workshop) (Singapore: World Scientific) pp 423-31 (English version of the preprint of 1989 in Russian)
2. Suris Yu B 1995 Bi-Hamiltonian structure of the qd algorithm and new discretizations of the Toda lattice Phys. Lett. 206A 153-61
3. Papageorgiou V, Grammaticos B and Ramani A 1995 Orthogonal polynomial approach to discrete Lax pairs for initial-boundary value problems of the QD algorithm Lett. Math. Phys 34
4. Oevel W and Ragnisco O 1989 Nonlinear Poisson brackets and R-matrices Physica 161A 181
5. Suris Yu B 1993 On the bi-Hamiltonian structure of Toda and relativistic Toda lattices Phys. Lett. 180A 419-29
6. Ragnisco O and Bruschi M 1996 Peakons, R-matrix and Toda lattice Physica 228A 150-9
7. Hirota R 1977 Nonlinear partial difference equations II. Discrete-time Toda equation J. Phys. Soc. Japan 43 2074-8 Hirota R 1978 Nonlinear partial difference equations IV. Bäcklund transformations for the discrete-time Toda equation J. Phys. Soc. Japan 45 321-32
8. Hirota R 1977 Nonlinear partial difference equations II. Discrete-time Toda equation J. Phys. Soc. Japan 43 2074-8 Hirota R 1978 Nonlinear partial difference equations IV. Bäcklund transformations for the discrete-time Toda equation J. Phys. Soc. Japan 45 321-32
9. Suris Yu B 1991 Generalized Toda chains in discrete time Leningrad Math. J. 2 339-52 Suris Yu B 1990 Discrete-time generalized Toda lattices: complete integrability and relation with relativistic Toda lattices. Phys. Lett. 145A 113-19 Suris Yu B 1991 Algebraic structure of discrete-time and relativistic Toda lattices Phys. Lett. 156A 467-74
10. Suris Yu B 1991 Generalized Toda chains in discrete time Leningrad Math. J. 2 339-52 Suris Yu B 1990 Discrete-time generalized Toda lattices: complete integrability and relation with relativistic Toda lattices. Phys. Lett. 145A 113-19 Suris Yu B 1991 Algebraic structure of discrete-time and relativistic Toda lattices Phys. Lett. 156A 467-74
11. Suris Yu B 1991 Generalized Toda chains in discrete time Leningrad Math. J. 2 339-52 Suris Yu B 1990 Discrete-time generalized Toda lattices: complete integrability and relation with relativistic Toda lattices. Phys. Lett. 145A 113-19 Suris Yu B 1991 Algebraic structure of discrete-time and relativistic Toda lattices Phys. Lett. 156A 467-74
12. Damianou P A 1994 Multiple Hamiltonian structures for Toda type systems J. Math. Phys. 35 5511-41