Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients

Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients

Motivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge−Kutta pair with improved periodicity and stability characteristics. Additionally, we...

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Bibliographic Details
Main Authors: Athinoula A. Kosti, Simon Colreavy-Donnelly, Fabio Caraffini, Zacharias A. Anastassi
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
nonlinear schrödinger equation
periodic coefficients
varying dispersion
varying nonlinearity
runge–kutta pair
phase-lag
amplification error
step size control
local error estimation
Online Access:https://www.mdpi.com/2227-7390/8/3/374

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