On non-Abelian Toda A2(1) model and related hierarchies

DOI10.1063/1.3267864zbMath1373.37168arXiv0912.4143OpenAlexW1664256910MaRDI QIDQ3583762

Jyh-Hao Lee, D. K. Demskoi

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4143

zbMATH Keywords

Toda latticegeneralized symmetry algebrasnon-Abelian Toda modelsystems of Yajima-Oikawa type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Unnamed Item
• One class of Liouville-type systems
• Integrals, solutions, and existence problems for Laplace transformations of linear hyperbolic systems
• Symmetries of nonlinear hyperbolic systems of the Toda chain type
• Lax representations for triplets of two-dimensional scalar fields of the chiral type
• Nonabelian Toda theories from parafermionic reductions of the WZW model
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Laplace invariants of two-dimensional open Toda lattices
• Lax representation for a triplet of scalar fields
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• Exactly integrable hyperbolic equations of Liouville type
• On application of Liouville type equations to constructing Bäcklund transformations
• Laplace transformations of hydrodynamic-type systems in Riemann invariants: Periodic sequences
• Lax representation of the chiral-type field equations

This page was built for publication: On non-Abelian Toda A2(1) model and related hierarchies