The new look on the theory of integrable systems

DOI10.1016/0167-2789(95)00152-TzbMath1194.37105OpenAlexW2061798443MaRDI QIDQ992373

A. N. Leznov

Publication date: 11 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00152-t

Mathematics Subject Classification ID

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

Related Items

Integrable mappings and hierarchies in the (\(2| 2\)) superspace ⋮ Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation ⋮ Fine structure of matrix Darboux-Toda integrable mapping ⋮ Integrable two-dimensional ultra-Toda mappings and chains ⋮ Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case ⋮ Integrable mappings for noncommutative objects

Cites Work

• Unnamed Item
• The integrable mapping as the discrete group of inner symmetry of integrable systems
• UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension
• The canonical symmetry for integrable systems
• Hamiltonian properties of the canonical symmetry
• On the solutions of the anisotropic Heisenberg equation

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