On the existence of optical vortex solitons propagating in saturable nonlinear media

DOI10.1063/1.4974316zbMath1359.78019arXiv1505.06157OpenAlexW2581980738MaRDI QIDQ2963270

Luciano Medina

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06157

zbMATH Keywords

variational principlenonlinear Schrödinger-type equationoptical vortex solitonsconstrained minimization approach

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Variational methods for second-order elliptic equations (35J20) Physical optics (78A10) Optimization problems in optics and electromagnetic theory (78M50) Traveling wave solutions (35C07) Soliton solutions (35C08) Positive solutions to PDEs (35B09)

Related Items

Existence of vortices for Schrödinger equations with logarithmic and saturable nonlinearity ⋮ Existence of coupled optical vortex solitons propagating in a quadratic nonlinear medium ⋮ Existence of optical vortices in \(\mathbb{R}^2\) ⋮ Localized optical vortex solitons in pair plasmas

Uses Software

• Matlab
• Optimization Toolbox

Cites Work

• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Steady state solutions for Schrödinger equations governing nonlinear optics
• Steady state solutions for nonlinear Schrödinger equation arising in optics
• Dislocations in wave trains
• On the steady-state solutions of a nonlinear photonic lattice model
• Existence of steady-state solutions in a nonlinear photonic lattice model
• Standing waves of some coupled nonlinear Schrödinger equations
• Existence of Optical Vortices
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