KP hierarchy for the cyclic quiver

DOI10.1063/1.4991031zbMath1370.37126arXiv1512.08551OpenAlexW2963657981WikidataQ59887975 ScholiaQ59887975MaRDI QIDQ5354879

Oleg A. Chalykh, Alexey Silantyev

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1512.08551

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) Grassmannians, Schubert varieties, flag manifolds (14M15) Representations of quivers and partially ordered sets (16G20)

Related Items

Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Cyclotomic Gaudin models with irregular singularities ⋮ Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models ⋮ Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchy ⋮ Quantum Lax pairs via Dunkl and Cherednik operators ⋮ Many-body integrable systems implied by WLZZ models ⋮ Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ Classical \(N\)-reflection equation and Gaudin models ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver ⋮ Matrix and vectorial generalized Calogero-Moser models ⋮ Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics

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