Research Article Open Access

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

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.

American Journal of Applied Sciences
Volume 1 No. 2, 2004, 100-106

DOI: https://doi.org/10.3844/ajassp.2004.100.106

Submitted On: 8 February 2005 Published On: 30 June 2004

How to Cite: Osman, F. & Beech, R. (2004). Programming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with Mathematica. American Journal of Applied Sciences, 1(2), 100-106. https://doi.org/10.3844/ajassp.2004.100.106

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Keywords

  • Mathematica
  • Generalized Nonlinear Paraxial Equation
  • Solitons