The classical hydrodynamics of the Calogero-Sutherland model

Michael Stone; Inaki Anduaga; Lei Xing

doi:10.1088/1751-8113/41/27/275401

The classical hydrodynamics of the Calogero-Sutherland model

Michael Stone, Inaki Anduaga, Lei Xing

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We explore the classical version of the mapping, due to Abanov and Wiegmann, of Calogero-Sutherland hydrodynamics onto the Benjamin-Ono equation 'on the double'. We illustrate the mapping by constructing the soliton solutions to the hydrodynamic equations, and show how certain subtleties arise from the need to include corrections to the nave replacement of singular sums by principal-part integrals.

Original language	English (US)
Article number	275401
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	41
Issue number	27
DOIs	https://doi.org/10.1088/1751-8113/41/27/275401
State	Published - Jul 11 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/41/27/275401

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The classical hydrodynamics of the Calogero-Sutherland model

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