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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| Published in | Waves in random and complex media Vol. 27; no. 4; pp. 587 - 593 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
02.10.2017
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1745-5030 1745-5049 |
| DOI | 10.1080/17455030.2017.1285449 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Wazwaz, Abdul-Majid Triki, Houria |
| Author_xml | – sequence: 1 givenname: Houria surname: Triki fullname: Triki, Houria organization: Radiation Physics Laboratory, Faculty of Sciences, Department of Physics, Badji Mokhtar University – sequence: 2 givenname: Abdul-Majid surname: Wazwaz fullname: Wazwaz, Abdul-Majid email: wazwaz@sxu.edu organization: Department of Mathematics, Saint Xavier University |
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| Cites_doi | 10.1088/1751-8113/45/23/235202 10.1103/PhysRevA.88.033808 10.1002/mma.3133 10.1080/09500340.2014.944357 10.1103/PhysRevLett.78.448 10.1007/s00332-010-9070-1 10.1143/JPSJ.81.124007 10.1103/PhysRevLett.85.2937 10.1016/j.jde.2015.02.046 10.1016/S0030-4018(01)01267-6 10.1016/j.optcom.2011.09.043 10.1103/PhysRevE.84.066602 10.1088/1751-8113/45/47/475202 10.1103/PhysRevE.87.052914 10.1016/0167-2789(95)00133-O 10.1016/j.optcom.2013.06.039 10.1098/rspa.2015.0236 10.1016/j.chaos.2007.06.024 10.1016/j.cnsns.2009.01.008 10.1111/j.1467-9590.2009.00454.x 10.1063/1.3276447 10.1088/0951-7715/22/1/002 10.1016/j.ijleo.2013.12.061 10.1103/PhysRevLett.84.4096 |
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| SubjectTerms | Dispersion Group velocity Nonlinearity Optical fibers Pulse propagation Solitary waves Wave dispersion |
| Title | Combined optical solitary waves of the Fokas-Lenells equation |
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