Combined optical solitary waves of the Fokas-Lenells equation

In this work, we investigate the Fokas-Lenells equation describing the propagation of ultrashort pulses in optical fibers when certain terms of the next asymptotic order beyond those necessary for the nonlinear Schrö dinger equation are retained. In addition to group velocity dispersion and Kerr non...

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Bibliographic Details
Published inWaves in random and complex media Vol. 27; no. 4; pp. 587 - 593
Main Authors Triki, Houria, Wazwaz, Abdul-Majid
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.10.2017
Taylor & Francis Ltd
Subjects
Dispersion
Group velocity
Nonlinearity
Optical fibers
Pulse propagation
Solitary waves
Wave dispersion
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ISSN1745-5030
1745-5049
DOI10.1080/17455030.2017.1285449

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Summary:In this work, we investigate the Fokas-Lenells equation describing the propagation of ultrashort pulses in optical fibers when certain terms of the next asymptotic order beyond those necessary for the nonlinear Schrö dinger equation are retained. In addition to group velocity dispersion and Kerr nonlinearity, the model involves both spatio-temporal dispersion and self-steepening terms. A class of exact combined solitary wave solutions of this equation is constructed for the first time, by adopting the complex envelope function ansatz. The influences of spatio-temporal dispersion on the characteristics of combined solitary waves is also discussed.
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ISSN:1745-5030
1745-5049
DOI:10.1080/17455030.2017.1285449