A numerical development in the dynamical equations of solitons into ideal optical fibers
Exactly Solvable and Integrable Systems
2019-04-17 v1 Numerical Analysis
Optics
Abstract
We develop and evaluate a numerical procedure for a system of nonlinear differential equations, which describe the propagation of solitons into ideal dielectric optical fibers. This problem has analytical solutions known. The numerical solutions of the system is implemented by the finite element method, using methods of stabilization such as Streamline Upwind Petrov-Galerkin (SUPG) and Consistent Approximate Upwind (CAU). Comparing the numerical and analytical solutions, it was found that the numerical procedure adequately describes the dynamics of this system.
Keywords
Cite
@article{arxiv.1008.0388,
title = {A numerical development in the dynamical equations of solitons into ideal optical fibers},
author = {Diogo Albino de Queiroz and Paulo Laerte Natti and Neyva Maria Lopes Romeiro and Érica Regina Takano Natti},
journal= {arXiv preprint arXiv:1008.0388},
year = {2019}
}
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In Portuguese