DYNAMICAL STABILIZATION OF NONLINEAR WAVES

被引：0
作者：
Abdullaev, Fatkhulla [1 ]
机构：
[1] Uzbek Acad Sci, Phys Tech Inst, Tashkent 700084, Uzbekistan
来源：
NONLINEAR WAVES: CLASSICAL AND QUANTUM ASPECTS | 2005年 / 153卷
关键词：
Stabilization of Townes soliton; periodic dispersion; nonlinearity; oscillating trap; nonlinear matter waves; rapid perturbations; Bose-Einstein condensate;
D O I：
10.1007/1-4020-2190-9_3
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Dynamics of solitons in the nonlinear media with rapidly varying parameters are investigated. One-dimensonal and two-dimensional nonlinear Schrodinger equations with a periodic modulation in time of the dispersion, the nonlinearity and the linear potential, are considered. As physical applications we study problems: 1) the stabilization of atomic matter soliton in Bose-Einstein condensate (BEC) with a rapidly varying trap potential; 2) the dynamical stabilization of bright soliton in two dimensional BEC by rapidly oscillating atomic scattering length; (the Feshbach resonance or nonlinearity management), 3) the existence of stable two dimensional dispersion-managed soliton.
引用
收藏
页码：29 / 44
页数：16
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