Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model

DOI10.1063/5.0051713zbMath1475.37074arXiv2103.07357OpenAlexW3137344518MaRDI QIDQ5000176

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Publication date: 9 July 2021

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

Full work available at URL: https://arxiv.org/abs/2103.07357

zbMATH Keywords

elliptic functionselliptic spin Calogero-Moser systemmatrix Kadomtsev-Petviashvili 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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (3)

Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model ⋮ Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction

Cites Work

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