Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures
DOI10.1016/j.nuclphysb.2005.08.035zbMath1126.37315arXivnlin/0506041OpenAlexW1979481788MaRDI QIDQ876240
V. V. Gribanov, V. G. Kadyshevskij, Alexander S. Sorin
Publication date: 16 April 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0506041
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Lattice dynamics; integrable lattice equations (37K60)
Related Items (1)
Cites Work
- Solutions of the Yang-Baxter equation
- The Hamiltonian structures of the two-dimensional Toda lattice and \(R\)-matrices
- Nonlinear Poisson structures and r-matrices
- Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies
- Supersymmetric two-dimensional Toda lattice
- Odd bases of Lie superalgebras and integrable equations
- The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice
- Generalized fermionic discrete Toda hierarchy
- \(N=(1|1)\) supersymmetric dispersionless Toda lattice hierarchy
- R-matrices and higher Poisson brackets for integrable systems
- THE MODIFIED CLASSICAL YANG-BAXTER EQUATION AND SUPERSYMMETRIC GEL’FAND-DIKII BRACKETS
- The conserved quantities and symmetries of the two-dimensional Toda lattice hierarchy
- A Note on Fermionic Flows of the N=(1|1) Supersymmetric Toda Lattice Hierarchy
- COMPATIBLE POISSON STRUCTURES OF TODA TYPE DISCRETE HIERARCHY
- A supersymmetric extension of the Toda lattice hierarchy
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures
