On the instability of the Ruf–Sani solitons for the NLS with exponential nonlinearity
On the instability of the Ruf–Sani solitons for the NLS with exponential nonlinearity
复制标题
具有指数非线性的 NLS 的 RufâSani 孤子的不稳定性
DOI：
10.1016/j.aml.2022.107988
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发表时间：
2022
影响因子：
3.7
通讯作者：
Stefanov, Atanas G.
中科院分区：
文献类型：
--
作者：
Hajaiej, Hichem;Stefanov, Atanas G.
研究了具有两种指数非线性项的二维非线性薛定谔方程。Ruf-Sani的工作（Ruf and Sani，2013）众所周知，这种模型支持孤立波解，孤立波解是一些约束最小化问题的解。我们证明了Ruf-Sani孤子是谱不稳定的，并且通过爆破证明了它是不稳定的。
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 (Ruf and Sani, 2013), that such models support solitary wave solutions, which are solutions of some constrained minimization problem. We show that the Ruf–Sani solitons are spectrally unstable and unstable by blow up.