Research Article Open Access

Effects of Higher Order Dispersion Terms in the Nonlinear Schrodinger Equation

Robert Beech1 and Frederick Osman1
  • 1 ,
American Journal of Applied Sciences
Volume 2 No. 9, 2005, 1356-1369

DOI: https://doi.org/10.3844/ajassp.2005.1356.1369

Submitted On: 12 August 2005 Published On: 30 September 2005

How to Cite: Beech, R. & Osman, F. (2005). Effects of Higher Order Dispersion Terms in the Nonlinear Schrodinger Equation. American Journal of Applied Sciences, 2(9), 1356-1369. https://doi.org/10.3844/ajassp.2005.1356.1369

Abstract

This study presents a concise graphical analysis of solitonic solutions to a nonlinear Schrodinger equation (NLSE). A sequence of code using the standard NDSolve function has been developed in Mathematica to investigate the acceptable accuracy of the NLSE in relatively small ranges of the dispersive parameter space. An operator splitting approach was used in the numerical solutions to expand the boundaries and reduce the artifacts for a reliable solution. These numerical routines were implemented through the use with Mathematica and the results give a very clear view of this interesting and important practical phenomenon.

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Keywords

  • Solitons
  • Solitonic solutions
  • Nonlinear Schrodinger equation
  • Numerical artifacts