The Hamiltonian structures of the two-dimensional Toda lattice and R-matrices
arXiv:math-ph/0403049 · doi:10.1007/s11005-005-0629-y
Abstract
We construct the tri-Hamiltonian structure of the two-dimensional Toda hierarchy using the R-matrix theory.
15 pages; minor corrections; references added
References in corpus (1)
Cited by in corpus (11)
- The Extended Bigraded Toda hierarchy
- Integrable hierarchies and the mirror model of local CP1
- Bihamiltonian Structure of the Two-component Kadomtsev-Petviashvili Hierarchy of type B
- An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures
- Local and non-local multiplicative Poisson vertex algebras and differential-difference equations
- Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies
- Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures
- Infinite-Dimensional Frobenius Manifolds for 2+1 Integrable Systems
- The integrability of the 2-Toda lattice on a simple Lie algebra
- Classical double, R-operators and negative flows of integrable hierarchies
- Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy