Optical vortices in dispersive nonlinear Kerr-type media

DOI10.1155/S0161171204301018zbMath1069.35084arXivnlin/0304026OpenAlexW2117374130MaRDI QIDQ1774714

Lubomir M. Kovachev

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0304026

zbMATH Keywords

Maxwell equationsvector nonlinear Schrödinger equationexact vortex solutionsnonlinear vector integrodifferential wave equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Systems of nonlinear integral equations (45G15)

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Existence of optical vortices in \(\mathbb{R}^2\)

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