Lagrangian approach to the dynamics of dark matter-wave solitons (6 pages)
Lagrangian approach to the dynamics of dark matter-wave solitons (6 pages)
复制标题
DOI：
10.1103/physreva.72.023609
复制
发表时间：
2005-08
影响因子：
2.9
通讯作者：
M. Oberthaler;D. Frantzeskakis;P. Schmelcher;G. Theocharis;P. Kevrekidis
中科院分区：
文献类型：
--
作者：
M. Oberthaler;D. Frantzeskakis;P. Schmelcher;G. Theocharis;P. Kevrekidis
我们分析了具有径向对称性的Gross-Pitaevskii方程所描述的费米云上暗物质波孤子的动力学。一维，环，和球形暗孤子被认为是，和他们的振幅，速度和中心的演化研究通过拉格朗日方法。在大振幅振荡的情况下，高阶修正相应的孤子特性的运动方程是很重要的，以准确地描述其动态。数值结果与分析预测吻合得很好。
We analyze the dynamics of dark matter-wave solitons on a Thomas-Fermi cloud described by the Gross-Pitaevskii equation with radial symmetry. One-dimensional, ring, and spherical dark solitons are considered, and the evolution of their amplitudes, velocities, and centers is investigated by means of a Lagrangian approach. In the case of large-amplitude oscillations, higher-order corrections to the corresponding equations of motion for the soliton characteristics are shown to be important in order to accurately describe its dynamics. The numerical results are found to be in very good agreement with the analytical predictions.