Stationary problems for equation of the KdV type and dynamical r-matrices

DOI10.1063/1.531575zbMath0863.58035arXivhep-th/9503066OpenAlexW3103873650WikidataQ125348699 ScholiaQ125348699MaRDI QIDQ5284798

Stefan Rauch-Wojciechowski, Andreĭ Vladimirovich Tsyganov, Petr P. Kulish

Publication date: 3 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9503066

zbMATH Keywords

integrable Hamiltonian systemsdynamical \(r\)-matricesequation of KdV type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• Separation of variables in the Gaudin model
• Poisson structure of a periodic classical XYZ-chain
• On geometric phases for soliton equations
• Linearising two-dimensional integrable systems and the construction of action-angle variables
• Generalized separability for a Hamiltonian with nonseparable quartic potential
• RESTRICTED FLOWS OF THE KdV HIERARCHY AND r-MATRIX FORMALISM
• On stationary problems for equations of korteweg-de vries type
• Restricted flows of the AKNS hierarchy
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• Equivalence of two graphical calculi
• Quadrics on complex Riemannian spaces of constant curvature, separation of variables, and the Gaudin magnet
• Soliton hierarchies with sources and Lax representation for restricted flows
• Linear r-matrix algebra for classical separable systems
• Additive deformations of the r-matrix algebras

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