Solitons in Ideal Optical Fibers - A Numerical Development

Details Solitons in Ideal Optical Fibers - A Numerical Development Solitons in Ideal Optical Fibers - A Numerical Development

2010-07-29

arxiv.org/abs/1007.5276v1

Semina: Ci\^encias Exatas e Tecnol\'ogicas, v. 31, n.1, 57-68, 2010

Nonlinear Sciences

Pattern Formation and Solitons

Article accepted for publication in Semina: Ci\^encias Exatas e Tecnol\'ogicas

Scientific paper

This work developed a numerical procedure for a system of partial differential equations (PDEs) describing the propagation of solitons in ideal optical fibers. The validation of the procedure was implemented from the numerical comparison between the known analytical solutions of the PDEs system and those obtained by using the numerical procedure developed. It was discovered that the procedure, based on the finite difference method and relaxation Gauss-Seidel method, was adequate in describing the propagation of soliton waves in ideals optical fibers.

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