Associated integrable systems

DOI10.1063/1.529350zbMath0850.70175OpenAlexW2048647185MaRDI QIDQ3981651

Solomon J. al'Ber

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529350

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (4)

A closed form solution of the one-dimensional Born–Green–Yvon equation for a hard-rod fluid ⋮ Integrable dispersive chains and their multi-phase solutions ⋮ Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor ⋮ Invariant manifolds and separation of the variables for integrable chains

Cites Work

• Integrable discrete-time systems and difference operators
• On finite-zone solutions of relativistic Toda lattices
• Loop groups and equations of KdV type
• Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows
• A new class of integrable systems and its relation to solitons
• The Lax representation for an integrable class of relativistic dynamical systems
• The finite Toda lattices
• The spectrum of difference operators and algebraic curves
• E-compact extensions of topological spaces
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Matrix factorizations and integrable systems
• Hamiltonian Formalism for Nonlinear SchrÖDinger Equations and Sine-Gordon Equations
• THE LAX REPRESENTATION WITH A SPECTRAL PARAMETER FOR CERTAIN DYNAMICAL SYSTEMS
• On Some Periodic Toda Lattices

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