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

DOI10.1016/J.AML.2022.107988zbMath1490.35419arXiv2110.02451OpenAlexW3202330956WikidataQ115597732 ScholiaQ115597732MaRDI QIDQ2135667

Atanas G. Stefanov, Hichem Hajaiej

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02451

zbMATH Keywords

instabilitysolitonsNLS with exponential nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

• Instability of standing waves for nonlinear Schrödinger equations with potentials
• On the normalized ground states of second order PDE's with mixed power non-linearities
• Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth
• ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
• Symmetrization Inequalities for Composition Operators of Carathéodory type
• Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential
• Unnamed Item

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