Spin Calogero particles and bispectral solutions of the matrix KP hierarchy

DOI10.1007/s11040-009-9058-yzbMath1186.37072arXiv0806.2613OpenAlexW2021975041MaRDI QIDQ1029261

Alex Kasman, Maarten Bergvelt, Michael I. Gekhtman

Publication date: 10 July 2009

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2613

zbMATH Keywords

integrable systemsCalogero-Moser systemsLax equationKP wave function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Matrix equations and identities (15A24) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ordinary differential operators (34L99)

Related Items (10)

Explicit solutions of matrix and dynamical Schrödinger equations and of KdV equation in terms of square roots of the generalised matrix eigenvalues ⋮ Matrix bispectrality of full rank one algebras ⋮ Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchy ⋮ Noncommutative bispectral Darboux transformations ⋮ KP hierarchy for the cyclic quiver ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Integral operators, bispectrality and growth of Fourier algebras ⋮ Dressing for Fokker-Planck Equations: the Cases of 1+1 and 1+ℓ Dimensions ⋮ Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy ⋮ The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation

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