Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchy

DOI10.1088/1751-8121/aabd9czbMath1403.37076arXiv1712.06943OpenAlexW2778825521MaRDI QIDQ4586125

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Publication date: 11 September 2018

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

Full work available at URL: https://arxiv.org/abs/1712.06943

zbMATH Keywords

matrix KP hierarchypole dynamicsCalogero-Moser hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (6)

Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy ⋮ Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy ⋮ A Universal Construction of Calogero-Moser System with Two Types Spins Interaction ⋮ Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model ⋮ Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics

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