Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation.
Stabilization of high-order solutions of the cubic nonlinear Schrödinger equation.
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DOI：
10.1103/physreve.75.046609
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发表时间：
2007-01
期刊：
影响因子：
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通讯作者：
A. Alexandrescu;G. Montesinos;V. Pérez-García
中科院分区：
文献类型：
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作者：
A. Alexandrescu;G. Montesinos;V. Pérez-García
本文考虑了三次非线性薛定谔方程非基本不稳定定态解的稳定性。具体而言，我们研究了具有节点的径向对称解和非对称复稳态解的稳定性。对于第一个，我们发现部分稳定类似于最近发现的涡解，而后者的稳定似乎是不可能的。
In this paper we consider the stabilization of nonfundamental unstable stationary solutions of the cubic nonlinear Schrödinger equation. Specifically, we study the stabilization of radially symmetric solutions with nodes and asymmetric complex stationary solutions. For the first ones, we find partial stabilization similar to that recently found for vortex solutions while for the later ones stabilization does not seem possible.