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BOUND STATES OF EXCITATIONS IN A BOSE SYSTEM WITH A CONDENSATE.

Yu. A. Neopmnyashchii

Published Jan 1, 1972• 0 citations
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International Journal of Modern Physics B•Sep 20, 2005•5 citations
A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose–Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.