2008

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

Abanov, A. G., Bettelheim, E., Wiegmann, P.

Understand

We 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.

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