1 citations · 1 across the 3 of their papers we have counts for
3 papers
math-ph2026
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…
math-ph2025★ 1 cited
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…
math.AP2023
Existence of Optical Vortex Solitons in Photorefractive Media
Tianyi Zhang, Luciano Medina, Zihan Zhang
Optical propagation and vortices in nonlinear media have been intensively studied in modern optical physics. In this paper, we establish constraints regarding the propagation const…