Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation

DOI10.1016/j.matcom.2010.11.019zbMath1302.78022arXiv0910.5758OpenAlexW2165210426MaRDI QIDQ446024

R. M. Caplan, Boris A. Malomed, Panayotis G. Kevrekidis, R. Carretero-González

Publication date: 28 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5758

zbMATH Keywords

nonlinear Schrödinger equationvorticesmodulational instabilityvariational approximationsoliton collisions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity, On vortex and dark solitons in the cubic-quintic nonlinear Schrödinger equation, Spatiotemporal soliton interaction of saturable nonlinear Schrödinger equations in spatial dimensions higher than 1, Nonlinear Schrödinger equations with single power nonlinearity and harmonic potential, Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation

Cites Work

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• Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
• Stability of spinning ring solitons of the cubic-quintic nonlinear Schrödinger equation
• Stability of vortex solitons in the cubic-quintic model
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