The classical hydrodynamics of the Calogero-Sutherland model

Michael Stone, Inaki Anduaga, Lei Xing

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Article number275401
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number27
DOIs
StatePublished - 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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