The classical hydrodynamics of the Calogero–Sutherland model

DOI10.1088/1751-8113/41/27/275401zbMath1146.76009arXiv0803.3735OpenAlexW2057150679MaRDI QIDQ3516306

Lei Xing, Michael Stone, Inaki Anduaga

Publication date: 1 August 2008

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

Full work available at URL: https://arxiv.org/abs/0803.3735

zbMATH Keywords

solitonBenjamin-Ono equationprincipal-part integralssingular sums

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (7)

Emptiness formation in polytropic quantum liquids ⋮ Duality in a hyperbolic interaction model integrable even in a strong confinement: multi-soliton solutions and field theory ⋮ Solitons in a continuous classical Haldane-Shastry spin chain ⋮ Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics ⋮ Some connections between the classical Calogero-Moser model and the log-gas ⋮ Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics ⋮ Quasiparticle kinetic theory for Calogero models

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