Existence of coupled optical vortex solitons propagating in a quadratic nonlinear medium

DOI10.1002/mma.9577OpenAlexW4385278406MaRDI QIDQ6193117

Luciano Medina

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9577

zbMATH Keywords

mountain pass theoremPalais-Smale conditionSchrödinger equationsconstrained minimizationoptical vortices

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
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• Existence of optical vortices in \(\mathbb{R}^2\)
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• On the existence of optical vortex solitons propagating in saturable nonlinear media
• Elliptic Partial Differential Equations of Second Order
• Existence of the positive composite optical vortices
• Standing waves of some coupled nonlinear Schrödinger equations
• Existence of Optical Vortices

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