Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation

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dc.creatorAbanov, A. G.
dc.creatorBettelheim, E.
dc.creatorWiegmann, P.
dc.date2008-10-29
dc.date.accessioned2026-07-07T12:56:46Z
dc.date.available2026-07-07T12:56:46Z
dc.descriptionWe develop a hydrodynamic description of the classical Calogero-Sutherland liquid: a Calogero-Sutherland model with an infinite number of particles and a non-vanishing density of particles. The hydrodynamic equations, being written for the density and velocity fields of the liquid, are shown to be a bidirectional analogue of Benjamin-Ono equation. The latter is known to describe internal waves of deep stratified fluids. We show that the bidirectional Benjamin-Ono equation appears as a real reduction of the modified KP hierarchy. We derive the Chiral Non-linear Equation which appears as a chiral reduction of the bidirectional equation. The conventional Benjamin-Ono equation is a degeneration of the Chiral Non-Linear Equation at large density. We construct multi-phase solutions of the bidirectional Benjamin-Ono equations and of the Chiral Non-Linear equations.
dc.description28 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0810.5327
dc.identifierhttp://arxiv.org/abs/0810.5327
dc.identifierJ.Phys.A42:135201,2009
dc.identifierdoi:10.1088/1751-8113/42/13/135201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224695
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
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