Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential.
Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential.
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DOI：
10.1103/physreve.85.026605
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发表时间：
2011-10
期刊：
影响因子：
--
通讯作者：
T. Dohnal;D. Pelinovsky
中科院分区：
文献类型：
--
作者：
T. Dohnal;D. Pelinovsky
我们对具有二维周期势的Gross-Pitaevskii方程和离散非线性Schrödinger方程的Bloch波谱带边缘附近的涡族进行了数值研究。结果表明，除了通过褶皱分岔在离带边缘一小段距离处终止的涡族外，还存在一直延续到带边缘的涡族。
We examine numerically vortex families near band edges of the Bloch wave spectrum for the Gross-Pitaevskii equation with two-dimensional periodic potentials and for the discrete nonlinear Schrödinger equation. We show that besides vortex families that terminate at a small distance from the band edges via fold bifurcations, there exist vortex families that are continued all the way to the band edges.