On different integrable systems sharing the same nondynamical r-matrix

DOI10.1063/1.532253zbMath1003.37039OpenAlexW2093252038MaRDI QIDQ4260472

Walter Strampp, Zhijun Qiao

Publication date: 8 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532253

Mathematics Subject Classification ID

Related Items (4)

Symplectic realizations and action-angle coordinates for the Lie-Poisson system of Dirac hierarchy ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ Automorphisms of \(\text{sl}(2)\) and classical integrable systems ⋮ A pair of finite-dimensional integrable systems possessing the common non-dynamical \(r\)-matrix

Cites Work

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• What is a classical r-matrix?
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• Parametric representation of the finite-band solution of the Heisenberg equation
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• Completely integrable system related to a new hierarchy of isospectral evolution equations
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• Dynamical \(r\)-matrices for the constrained Harry-Dym flows
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• Stationary Harry-Dym's equation and its relation with geodesics on ellipsoid
• A classical integrable system and the involutive representation of solutions of theKdV equation
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
• The finite-band solution of the Jaulent–Miodek equation
• Linear r-matrix algebra for classical separable systems
• A completely integrable system and parametric representation of solutions of the Wadati–Konno–Ichikawa hierarchy

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