This article is cited in 10 papers

PLASMA, HYDRO- AND GAS DYNAMICS

Soliton in stationary and dynamical traps

N. N. Rozanov^abc, N. V. Vysotina<sup>a

a</sup> S. I. Vavilov State Optical Institute
^b St. Petersburg National Research University of Information Technologies, Mechanics and Optics
^c Ioffe Physico-Technical Institute USSR Academy of Sciences, Leningrad

Abstract: Soliton dynamics in a one-dimensional trap with immobile and oscillating walls has been analyzed by the example of an atomic Bose-Einstein condensate. Agreement between the consequences of a simplified Newton’s equation describing the interaction of a soliton with its antiphase mirror reflections and the initial Gross-Pitaevskii equation has been demonstrated. Comparison with the dynamics of a classical point particle in the Fermi-Ulam problem has been carried out.

Received: 29.08.2014
Revised: 11.09.2014

DOI: 10.7868/S0370274X14200065

 English version: Journal of Experimental and Theoretical Physics Letters, 2014, 100:8, 508–511

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