114 citations · 297 across the 23 of their papers we have counts for
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Continuum Limit of 2D Fractional Nonlinear Schrödinger Equation
Brian Choi, Alejandro Aceves
We prove that the solutions to the discrete Nonlinear Schrödinger Equation (DNLSE) with non-local algebraically-decaying coupling converge strongly in to those…
Wave turbulence and collective behavior models for wave equations with short- and long-range interactions
Alejandro Aceves, Ricardo Alonso, Minh-Binh Tran
In this work, we discuss a situation which could lead to both wave turbulence and collective behavior kinetic equations. The wave turbulence kinetic models appear in the kinetic li…
Well-posedness of the mixed-Fractional Nonlinear Schrödinger Equation on
Brian Choi, Alejandro Aceves
We investigate the well-posedness theory of the 2-D fractional nonlinear Schrödinger equation (NLSE) with a mixed degree of derivatives. Motivated by models in optics and photonics…
WKB expansion for a fractional Schrödinger equation with applications to controllability
Umberto Biccari, Alejandro B. Aceves
This paper is devoted to the analysis of propagation properties for the solutions of a one-dimensional non-local Schrödinger equation involving the fractional Laplace operator $(-d…