69 citations · 207 across the 16 of their papers we have counts for
12 papers · 1 filter
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…
Liouvillian Propagators, Riccati Equation and Differential Galois Theory
Primitivo B. Acosta-Humánez, Erwin Suazo
In this paper a Galoisian approach to build propagators through Riccati equations is presented. The main result corresponds to the relationship between the Galois integrability of…
The Riccati System and a Diffusion-Type Equation
Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonauton…
Soliton-like Solutions for Nonlinear Schroedinger Equation with Variable Quadratic Hamiltonians
Erwin Suazo, Sergei K. Suslov
We construct one soliton solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by taking advantage of a complete (super) integrab…