具有二维周期势的格罗斯-皮塔耶夫斯基方程中谱边缘附近的涡旋族。
Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential.
作者信息
Dohnal Tomáš, Pelinovsky Dmitry
机构信息
Fakultät für Mathematik, Karlsruhe Institute of Technology, DE-76131 Karlsruhe, Germany.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 2):026605. doi: 10.1103/PhysRevE.85.026605. Epub 2012 Feb 22.
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.
我们对具有二维周期势的格罗斯 - 皮塔耶夫斯基方程以及离散非线性薛定谔方程，在布洛赫波谱的能带边缘附近的涡旋族进行了数值研究。我们表明，除了通过折叠分岔在距能带边缘较小距离处终止的涡旋族外，还存在一直延续到能带边缘的涡旋族。
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