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A gauge equivalent pair with two different \(r\)-matrices

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Publication:1569412
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DOI10.1016/S0375-9601(99)00766-5zbMath0948.81562OpenAlexW2082604364MaRDI QIDQ1569412

Walter Strampp, Zhijun Qiao

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00766-5



Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • What is a classical r-matrix?
  • Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
  • Integrable time-discretization of the Ruijsenaars-Schneider model
  • Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix.
  • Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
  • A hierarchy of nonlinear evolution equations and finite-dimensional involutive systems
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