具有指数非线性的NLS中Ruf-Sani孤子的不稳定性
On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity
摘要：
研究了具有两种指数非线性项的二维非线性薛定谔方程.这是众所周知的工作Ruf - Sani，这样的模型支持孤波解决方案，这是解决一些约束最小化问题。我们证明了这些Ruf-Sani孤子不仅是谱不稳定的，而且是爆破不稳定的。
英文摘要：
We study the two dimensional non-linear Schrödinger equation with two types of exponential non-linearities. It is well-known by a work of Ruf - Sani, that such models support solitary wave solutions, which are solutions of some constrained minimization problem. We show that these Ruf - Sani solitons, are spectrally unstable as well as unstable by blow-up.
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