69 citations · 207 across the 16 of their papers we have counts for
17 papers
Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations
Tamer Oraby, Harrinson Arrubla, Erwin Suazo
The work in this paper is four-fold. Firstly, we introduce an alternative approach to solve fractional ordinary differential equations as an expected value of a random time process…
Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves
Gabriela Pena, Hansapani Rodrigo, Mrinal Kanti Roychowdhury +2
In this paper, first we have defined a uniform distribution on the boundary of a regular hexagon, and then investigated the optimal sets of -means and the th quantization err…
On persistence of superoscillations for Schrödinger equation with time-dependent quadratic Hamiltonians
E. Hight, J. Palacio, T. Oraby +1
In this work we study the persistence in time of superoscillations for the Schrödinger equation with quadratic time-dependent Hamiltonians. We have solved explicitly the Cauchy ini…
Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations
E. Pereira, E. Suazo, J. Trespalacios
We present several families of nonlinear reaction diffusion equations with variable coefficients including Fisher-KPP and Burgers type equations. Special exact solutions such as tr…
Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation
J. Escorcia, E. Suazo
In this paper, by means of similarity transformations we study exact analytical solutions for a generalized nonlinear Schr$\ddot{\mbox{o}}$dinger equation with variable coefficient…
Fundamental Laser Modes in Paraxial Optics: From Computer Algebra and Simulations to Experimental Observation
Christoph Koutschan, Erwin Suazo, Sergei K. Suslov
We study multi-parameter solutions of the inhomogeneous paraxial wave equation in a linear and quadratic approximation which include oscillating laser beams in a parabolic waveguid…