On the integrability of certain matrix evolution equations

DOI10.1016/S0375-9601(00)00482-5zbMath1115.37335WikidataQ127309537 ScholiaQ127309537MaRDI QIDQ997713

Francesco Calogero, Mario Bruschi

Publication date: 7 August 2007

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

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (4)

Convenient parameterizations of matrices in terms of vectors ⋮ Integrable systems of quartic oscillators. II ⋮ Integrable systems of quartic oscillators ⋮ A new class of solvable dynamical systems

Cites Work

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• Matrix analogues of elliptic functions
• The reduction problem and the inverse scattering method
• Integrable systems of quartic oscillators
• Two-dimensional generalized Toda lattice
• Three integrable Hamiltonian systems connected with isospectral deformations
• Theta functions and non-linear equations
• Evolution equations associated with the discrete analog of the matrix Schrödinger spectral problem solvable by the inverse spectral transform
• The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem
• Solvable and/or Integrable and/or Linearizable N-Body Problems in Ordinary (Three-Dimensional) Space. I

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