The classical hydrodynamics of the Calogero-Sutherland model

Details The classical hydrodynamics of the Calogero-Sutherland model The classical hydrodynamics of the Calogero-Sutherland model

2008-03-26

arxiv.org/abs/0803.3735v2

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages, RevTeX, one figure. Typos fixed; reference added; more details in appendix

Scientific paper

10.1088/1751-8113/41/27/275401

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 naive replacement of singular sums by principal-part integrals.

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