Research Article Open Access

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

  • Frederick Osman
  • Robert Beech

American Journal of Applied Sciences
Volume 1 No. 2, 2004, 100-106
DOI: https://doi.org/10.3844/ajassp.2004.100.106

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.

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