Alejandro B. Aceves is a Professor of Applied Mathematics and Department Chair at the Southern Methodist University (Dallas, United States). His research interests are related to Nonlinear Optics and Nonlinear Wave Propagation. Namely, he is now working on modeling of nonlinear optical pulse propagation in waveguide gratings, code development to solve Maxwell's equations in nonlinear dielectrics, noise effect due to manufacturing imperfections in the problem of light localization in nonlinear fiber arrays, modeling of intense laser light propagation in air, studying the spread of diseases, and the effect of thermal baths in dimers and oscillator chains.
WKB expansion for a fractional Schrödinger equation with applications to controllability
Theoretical and numerical analysis of the propagation of the solutions for a Schrödinger equation with fractional Laplacian, with application to the study of controllability properties.