STABILITY AND EVOLUTION OF THE QUIESCENT AND TRAVELING SOLITONIC BUBBLES
STABILITY AND EVOLUTION OF THE QUIESCENT AND TRAVELING SOLITONIC BUBBLES
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DOI：
10.1016/0167-2789(93)90184-3
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发表时间：
1993-11-15
期刊：
影响因子：
4
通讯作者：
PANOVA, EY
中科院分区：
文献类型：
--
作者：
BARASHENKOV, IV;PANOVA, EY
数值模拟了一类五阶非线性薛定谔方程的泡状孤子的动力学行为。与早期的预测一致，已经观察到缓慢移动的气泡是不稳定的，与快速气泡相比，快速气泡在一定的临界速度以上稳定。临界流速的经验公式已被证实具有很高的精度。在选取临界微扰的基础上，导出了一般非线性薛定谔方程扭结和气泡稳定性的积分判据，解释了临界速度的出现.最后，我们数值跟踪的非线性演化的不稳定的气泡在一个，两个和三维。
We simulate numerically the dynamics of the bubble-like solitons of the cubic-quintic nonlinear Schrodinger equation. In agreement with earlier predictions, slow moving bubbles have been observed to be unstable, in contrast to rapid bubbles which stabilize above a certain critical velocity. The empirical formula for the critical velocity has been confirmed to a high degree of accuracy. Based on the choice of some critical perturbation, we derive an integral criterion for stability of kinks and bubbles of the general nonlinear Schrodinger equation which provides an explanation of the appearance of the critical velocity. Finally, we follow numerically the nonlinear evolution of the unstable bubbles in one, two and three dimensions.