Novel optical solitary waves and modulation instability analysis for the coupled nonlinear Schrödinger equation in monomode step-index optical fibers
This paper addresses the coupled nonlinear Schrödinger equation (CNLSE) in monomode step-index in optical fibers which describes the nonlinear modulations of two monochromatic waves, whose group velocities are almost equal. A class of dark, bright, dark-bright and dark-singular optical solitary wave...
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| Published in | Superlattices and microstructures Vol. 113; pp. 745 - 753 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.01.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0749-6036 1096-3677 |
| DOI | 10.1016/j.spmi.2017.12.010 |
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| Abstract | This paper addresses the coupled nonlinear Schrödinger equation (CNLSE) in monomode step-index in optical fibers which describes the nonlinear modulations of two monochromatic waves, whose group velocities are almost equal. A class of dark, bright, dark-bright and dark-singular optical solitary wave solutions of the model are constructed using the complex envelope function ansatz. Singular solitary waves are also retrieved as bye products of the in integration scheme. This naturally lead to some constraint conditions placed on the solitary wave parameters which must hold for the solitary waves to exist. The modulation instability (MI) analysis of the model is studied based on the standard linear-stability analysis. Numerical simulation and physical interpretations of the obtained results are demonstrated. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the CNLSE.
•The Coupled Nonlinear Schrödinger Equation in Monomode Step-Index Optical Fibers is studied.•Optical solitary waves are obtained fort he model equation.•The modulation instability analysis of the model is studied based on the standard linear-stability analysis. |
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| AbstractList | This paper addresses the coupled nonlinear Schrödinger equation (CNLSE) in monomode step-index in optical fibers which describes the nonlinear modulations of two monochromatic waves, whose group velocities are almost equal. A class of dark, bright, dark-bright and dark-singular optical solitary wave solutions of the model are constructed using the complex envelope function ansatz. Singular solitary waves are also retrieved as bye products of the in integration scheme. This naturally lead to some constraint conditions placed on the solitary wave parameters which must hold for the solitary waves to exist. The modulation instability (MI) analysis of the model is studied based on the standard linear-stability analysis. Numerical simulation and physical interpretations of the obtained results are demonstrated. It is hoped that the results reported in this paper can enrich the nonlinear dynamical behaviors of the CNLSE.
•The Coupled Nonlinear Schrödinger Equation in Monomode Step-Index Optical Fibers is studied.•Optical solitary waves are obtained fort he model equation.•The modulation instability analysis of the model is studied based on the standard linear-stability analysis. |
| Author | Baleanu, Dumitru Inc, Mustafa Aliyu, Aliyu Isa Yusuf, Abdullahi |
| Author_xml | – sequence: 1 givenname: Mustafa orcidid: 0000-0003-4996-8373 surname: Inc fullname: Inc, Mustafa email: minc@firat.edu.tr organization: Firat University, Science Faculty, Department of Mathematics, 23119, Elazig, Turkey – sequence: 2 givenname: Aliyu Isa surname: Aliyu fullname: Aliyu, Aliyu Isa email: aliyu.isa@fud.edu.ng organization: Firat University, Science Faculty, Department of Mathematics, 23119, Elazig, Turkey – sequence: 3 givenname: Abdullahi orcidid: 0000-0002-8308-7943 surname: Yusuf fullname: Yusuf, Abdullahi email: yusufabdullahi@fud.edu.ng organization: Firat University, Science Faculty, Department of Mathematics, 23119, Elazig, Turkey – sequence: 4 givenname: Dumitru surname: Baleanu fullname: Baleanu, Dumitru email: dumitru@cankaya.edu.tr organization: Department of Mathematics, Cankaya University, Ankara, Turkey |
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| Keywords | Solitary wave Complex envelope function ansatz Modulation instability Coupled nonlinear Schrödinger equation |
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| SubjectTerms | Complex envelope function ansatz Coupled nonlinear Schrödinger equation Modulation instability Solitary wave |
| Title | Novel optical solitary waves and modulation instability analysis for the coupled nonlinear Schrödinger equation in monomode step-index optical fibers |
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