Numerical evidence for singularity formation in defocusing fractional NLS in one space dimension

2024/10/23 by Christian Klein, Klein, Christian, Christof Sparber +1 · 2 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems

paper · pdf · doi:10.48550/arxiv.2410.18047

Abstract

We consider nonlinear dispersive equations of Schrödinger-type involving fractional powers 0

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• Solitary-wave solutions of the fractional nonlinear Schrödinger equation. II. A numerical study of the dynamics
• Spectral and Dynamical Properties of the Fractional Nonlinear Schrödinger Equation under Harmonic Confinement

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