3 papers
math.NA2025
A high-order method for the numerical approximation of fractional nonlinear Schrödinger equations
A. Durán, N. Reguera
In this paper, the periodic initial-value problem for the fractional nonlinear Schrödinger (fNLS) equation is discretized in space by a Fourier spectral Galerkin method and in tim…
math.NA2025
Solitary-wave solutions of the fractional nonlinear Schrödinger equation. II. A numerical study of the dynamics
Angel Durán, Nuria Reguera
The present paper is a numerical study of the dynamics of solitary wave solutions of the fractional nonlinear Schrödinger equation, whose existence was analyzed by the authors in…
math.AP2025
Asymptotic decay of solitary wave solutions of the fractional nonlinear Schrödinger equation
Ãngel Durán, Nuria Reguera
The existence of solitary wave solutions of the one-dimensional version of the fractional nonlinear Schrödinger (fNLS) equation was analyzed by the authors in a previous work. In…