COMPATIBLE POISSON STRUCTURES OF TODA TYPE DISCRETE HIERARCHY

DOI10.1142/S0217751X05021087zbMath1160.37414arXivnlin/0402014OpenAlexW2095416578MaRDI QIDQ4678417

Henrik Aratyn, Klaus Bering

Publication date: 23 May 2005

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0402014

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

Fermionic one- and two-dimensional Toda lattice hierarchies and their bi-Hamiltonian structures ⋮ Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies

Cites Work

• Nonlinear Poisson structures and r-matrices
• \({\mathcal R}\)-matrix approach to multi-Hamiltonian Lax dynamics
• Generalized fermionic discrete Toda hierarchy
• R-matrices and higher Poisson brackets for integrable systems

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