VARIATIONAL ANALYSIS OF FLAT-TOP SOLITONS IN BOSE–EINSTEIN CONDENSATES
B. B. BaizakovPhysical-Technical Institute, Uzbek Academy of Sciences, Tashkent 100084, UzbekistanA. BouketirDepartment of Mathematical Sciences Community College, King Fahd University of Petroleum and Minerals, Dhahran 1261, Saudi ArabiaA. MESSIKHDepartment of Computer Science, Faculty of ICT, International Islamic University Malaysia, P.O. Box 10, Kuala Lumpur 50728, MalaysiaA. BENSEGHIRDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, Kuantan 25710, MalaysiaB. A. PUMAROVDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box 141, Kuantan 25710, Malaysia
ABI
Аннотация
Static and dynamic properties of matter-wave solitons in dense Bose–Einstein condensates, where three-body interactions play a significant role, have been studied by a variational approximation (VA) and numerical simulations. For experimentally relevant parameters, matter-wave solitons may acquire a flat-top shape, which suggests employing a super-Gaussian trial function for VA. Comparison of the soliton profiles, predicted by VA and those found from numerical solution of the governing Gross–Pitaevskii equation shows good agreement, thereby validating the proposed approach.
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