3 papers
math-ph2024
On Explicit Solutions for Coupled Reaction-Diffusion and Burgers-Type Equations with Variable Coefficients Through a Riccati System
José M. Escorcia, Erwin Suazo
This work is concerned with the study of explicit solutions for generalized coupled reaction-diffusion and Burgers-type systems with variable coefficients. Including nonlinear mode…
math-ph2023
On explicit soliton solutions and blow-up for coupled variable coefficient nonlinear Schrödinger equations
Jose Escorcia, Erwin Suazo
This work is concerned with the study of explicit solutions for a generalized coupled nonlinear Schrödinger equations (NLS) system with variable coefficients. Indeed, we show, empl…
nlin.PS2023
Post-blowup dynamics for the nonlinear Schrödinger equation
José M. Escorcia, Alexei A. Mailybaev
In this work we present a systematic numerical study of the post-blowup dynamics of singular solutions of the 1D focusing critical NLS equation in the framework of a nonlinear damp…