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Research ArticleOpen accessEffects of Higher Order Dispersion Terms in the Nonlinear Schrodinger EquationRobert Beech, Frederick OsmanThis 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 … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,491 accessesView PDFCite
Research ArticleOpen accessProgramming of the Generalized Nonlinear Paraxial Equation for the Formation of Solitons with MathematicaFrederick Osman, Robert BeechThis 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 … …American Journal of Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2004 · 6,784 accessesView PDFCite