Regular and chaotic dynamics of a matter-wave soliton near the atomic mirror

被引：10
|
作者：
Khamrakulov, Kh P. [1 ]
机构：
[1] Uzbek Acad Sci, Phys Tech Inst, Tashkent 100084, Uzbekistan
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2014年 / 28卷 / 28期
关键词：
Bose-Einstein condensate; matter-wave soliton; Krylov-Bogoliubov method; Poincare map; Hamiltonian chaos; mean first-passage time; OSCILLATOR SYSTEMS; NEON ATOMS; REFLECTION; SURFACE; STATE;
D O I：
10.1142/S0217979214501987
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The dynamics of the soliton in a self-attractive Bose-Einstein condensate under the gravity are investigated. First, we apply the inverse scattering method, which gives rise to equation of motion for the center-of-mass coordinate of the soliton. We analyze the amplitude-frequency characteristic for nonlinear resonance. Applying the KrylovBogoliubov method for the small parameters the dynamics of soliton on the phase plane are considered. Hamiltonian chaos under the action of the gravity on the Poincar ' e map are studied.
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收藏
页数：11
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