Critical number of solitons in the Bose–Einstein condensate

M. R. Zhumaev; M. Z. Sharipov; N. N. Mirzhonova

doi:10.1134/S1027451017030168

Critical number of solitons in the Bose–Einstein condensate

Authors: Zhumaev M.R.¹, Sharipov M.Z.¹, Mirzhonova N.N.¹
Affiliations:
1. Bukhara Engineering-Technological Institute
Issue: Vol 11, No 3 (2017)
Pages: 570-574
Section: Article
URL: https://journal-vniispk.ru/1027-4510/article/view/193093
DOI: https://doi.org/10.1134/S1027451017030168
ID: 193093

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Abstract

The dynamics of solitons in the Bose–Einstein condensate under the effect of the fluctuation interaction of condensate atoms is studied. A system of equations of motion describing changes in the parameters of the soliton wave function is obtained using the method of the averaged Lagrangian. The minimum critical number of solitons is found, and the influence of the fluctuation interaction on the dynamics of solitons near their critical width is studied.