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arXiv · 2110.02451

On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity

Hichem Hajaiej·Atanas G. Stefanov
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Abstract

We study the two dimensional non-linear Schr\"odinger 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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Hichem Hajaiej, Atanas G. Stefanov. 2021-10-06. On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity. https://arxiv.org/abs/2110.02451

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