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A classical Calogero model in an external harmonic potential is known to be integrable for any number of particles. We consider here reductions which play a role of "soliton" solutions of the model. We obtain these solutions both for the model with finite number of particles and in a hydrodynamic limit. In the latter limit the model is described by hydrodynamic equations on continuous density and velocity fields. Soliton solutions in this case are finite dimensional reductions of the hydrodynamic model and describe the propagation of lumps of density and velocity in the nontrivial background.Comment: 25 pages, 2 figure

Topics:
Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Mathematical Physics

Year: 2011

DOI identifier: 10.1088/1751-8113/44/29/295203

OAI identifier:
oai:arXiv.org:1103.6231

Provided by:
arXiv.org e-Print Archive

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