8 citations · 13 across the 6 of their papers we have counts for
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Existence of Ground State and Excited Spinning -Vortex Solitons on Finite Domains
Caroline Brumelot, Luciano Medina
We establish the existence of spinning -vortex solitons in a complex scalar field theory with a sextic potential on a finite domain. By reducing the governing equation to a nonl…
Existence of Coupled Optical Vortex Solitons Propagating in a Quadratic Nonlinear Medium
Luciano Medina
We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the…
On the existence of optical vortex solitons propagating in saturable nonlinear media
Luciano Medina
In this paper, an existence theory is established for ring-profiled optical vortex solitons. We consider such solitons in the context of an electromagnetic light wave propagating i…
Vortex equations governing the fractional quantum Hall effect
Luciano Medina
An existence theory is established for a coupled non-linear elliptic system, known as "vortex equations", describing the fractional quantum Hall effect in 2-dimensional double-laye…