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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 time…
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 t…