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Article overview
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Soliton solutions of Calogero model in harmonic potential | Alexander G. Abanov
; Andrey Gromov
; Manas Kulkarni
; | Date: |
31 Mar 2011 | Abstract: | 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. | Source: | arXiv, 1103.6231 | Services: | Forum | Review | PDF | Favorites |
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