A. Aceves

activity

20092023

most citedBragg solitons in nonlinear PT-symmetric periodic potentials

114 citations · 297 across the 23 of their papers we have counts for

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Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021

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…

math.AP2021

Well-posedness of the mixed-Fractional Nonlinear Schrödinger Equation on $R^{2}$

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…

Wave turbulence and collective behavior models for wave equations with short- and long-range interactions

Well-posedness of the mixed-Fractional Nonlinear Schrödinger Equation on R2

Well-posedness of the mixed-Fractional Nonlinear Schrödinger Equation on $R^{2}$