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Programming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with Mathematica

By Frederick Osman and Robert Beech

Abstract

This study presents the nonlinearity and dispersion effects involved in the propagation of optical solitons which can be understood by using a numerical routine to solve the Generalized Nonlinear Paraxial equation. A sequence of code has been developed in Mathematica, to explore in depth several features of the optical soliton’s formation and propagation. These numerical routines were implemented through the use with Mathematica and the results give a very clear idea of this interesting and important practical phenomenon

Topics: </keyword><keyword>Mathematica, Generalized Nonlinear Paraxial Equation, Solitons, LCC:General Works, LCC:A, DOAJ:Multidisciplinary, DOAJ:General Works
Publisher: Science Publications
Year: 2004
DOI identifier: 10.3844/ajassp.2004.100.106
OAI identifier: oai:doaj.org/article:11fc0c6524de47b2b36b26cb97874776
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