We report new method for solving propagation equation for the electric field envelope, obtained from the Maxwell equations under the slowly varying envelope�...

Spectral method for numerical solution of the electric field envelope propagation equation. https://doi.org/10.1016/j.cnsns.2018.07.027 �.

We report new method for solving propagation equation for the electric field envelope, obtained from the Maxwell equations under the slowly varying envelope�...

We report new method for solving propagation equation for the electric field envelope, obtained from the Maxwell equations under the slowly varying envelope�...

The method uses the initial field E(z=0,t) to obtain the initial scattering data, then the propagation along z is found by solving the linear scattering problem�...

The split-step (Fourier) method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like the nonlinear Schr�dinger�...

Abstract. We derive a set of new unidirectional evolution equations for photonic nanowires, i.e. waveguides with sub-wavelength core diameter.

We show a consistent numerical approach that solves Maxwell's equations by using the FFT-finite difference beam propagation method and the Bloch equations by�...

This paper focuses on a class called spectral methods in which, typically, the various functions are expanded in sets of orthogonal polynomials or functions.

envelope function remains unchanged during propagation, higher-order solitons change in shape and spectrum in a complicate manner, but their shape follows a�...