A pair of finite-dimensional integrable systems possessing the common non-dynamical \(r\)-matrix

DOI10.1016/S0960-0779(01)00246-6zbMath1007.37035OpenAlexW2058382985MaRDI QIDQ1610446

Zhenya Yan

Publication date: 19 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00246-6

zbMATH Keywords

Kaup-Newell hierarchyfinite-dimensional integrable systemsnon-dynamical \(r\)-matrixYan hierarchy

Mathematics Subject Classification ID

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

Related Items (1)

Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy

Cites Work

• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix.
• Dynamical \(r\)-matrices for the constrained Harry-Dym flows
• An exact solution for a derivative nonlinear Schrödinger equation
• On different integrable systems sharing the same nondynamical r-matrix
• The finite-band solution of the Jaulent–Miodek equation
• The spectral theory of a functional-difference operator in conformal field theory

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