Observation of solitons with MATHEMATICA

Author

P, Carlos A Caballero ; Souza, Rui Fragassi

Author_Institution

Dept. of Microwave & Opt., State Univ. of Campinas, Brazil

Volume

39

Issue

1

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

46

Lastpage

49

Abstract

This paper shows that the formation and propagation of solitons can be easily observed and understood by using a simple numerical routine to solve a nonlinear Schrodinger equation that includes losses and third-order dispersion. A sequence of computer programs has been developed to assist the student to explore in depth several features of the soliton´s formation, propagation, and collision. These numerical routines were implemented for the use with MATHEMATICA and the results give a very clear idea of this interesting and important practical phenomenon

Keywords

Schrodinger equation; courseware; education; physics computing; software packages; solitons; teaching; MATHEMATICA; computer programs; losses; nonlinear Schrodinger equation; numerical routine; software package; soliton collision; soliton formation; soliton propagation; solitons; students; third-order dispersion; Differential equations; Finite difference methods; Nonlinear equations; Optical attenuators; Optical propagation; Optical refraction; Optical solitons; Pulse compression methods; Schrodinger equation; Space vector pulse width modulation;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.485231

Filename

485231