A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical solutions localized in a neighborhood of a circle for the Gross–Pitaevskii equation”, Computer Research and Modeling, 2009, Volume 1, Issue 4,Pages <nobr>359

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Semiclassical solutions localized in a neighborhood of a circle for the Gross–Pitaevskii equation

A. V. Borisov^a, A. Yu. Trifonov^b, A. V. Shapovalov^a

^a Tomsk State University
^b Tomsk Polytechnic University, Faculty of Natural Sciences and Mathematics, Lenin av. 30, 634050, Russia

Abstract: Non-collapsing soliton-like wave functions are shown to exist in semiclassical approximation for the Bose–Einstein condensate model based on the Gross–Pitaevskii equation with attractive nonlinearity and external field of magnetic trap of special form.

Keywords: Gross–Pitaevskii equation, Bose–Einstein condensate, magneto-optical trap.

Received: 07.04.2009

DOI: 10.20537/2076-7633-2009-1-4-359-365