Deformation of inhomogeneous vector optical rogue waves in the variable coefficients coupled cubic–quintic nonlinear Schrödinger equations with self-steepening
In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger (CQNLS) equations with self-steepening, modeling optical pulse propagation in inhomogeneous birefringent optical fibers. We employ a similarity transformation technique to transform the inhomogeneous optical...
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| Published in | European physical journal plus Vol. 139; no. 5; p. 405 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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10.05.2024
Springer Nature B.V |
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| ISSN | 2190-5444 2190-5444 |
| DOI | 10.1140/epjp/s13360-024-05205-z |
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| Abstract | In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger (CQNLS) equations with self-steepening, modeling optical pulse propagation in inhomogeneous birefringent optical fibers. We employ a similarity transformation technique to transform the inhomogeneous optical model into a homogeneous system consisting of two coupled CQNLS equations that satisfy integrable constraints. By utilizing the vector first- and second-order rogue wave solutions of the later equations, we obtain various inhomogeneous optical rogue waves: bright-bright, dark-bright, bright-bright doublet, quartet, and sextet for the considered system. The dynamical characteristics of these solutions are controlled by appropriately configuring the structural parameters in the derived solutions. Our investigation delves into the intricate features of these inhomogeneous vector optical rogue waves, with a particular focus on the effects of three longitudinally varying distinct dispersion parameters, namely exponential, kink-like and periodic. Throughout our study, we observe a wide spectrum of notable nonlinear phenomena in the intensity profiles of vector inhomogeneous rogue waves. These phenomena encompass deformation, enhancement, compression, stretching, suppression, and breathing behavior. The insights gained from this research hold significant promise for advancing the field of nonlinear optics, particularly in the realm of experimental investigations involving vector optical rogue waves in inhomogeneous birefringent fibers. |
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| AbstractList | In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger (CQNLS) equations with self-steepening, modeling optical pulse propagation in inhomogeneous birefringent optical fibers. We employ a similarity transformation technique to transform the inhomogeneous optical model into a homogeneous system consisting of two coupled CQNLS equations that satisfy integrable constraints. By utilizing the vector first- and second-order rogue wave solutions of the later equations, we obtain various inhomogeneous optical rogue waves: bright-bright, dark-bright, bright-bright doublet, quartet, and sextet for the considered system. The dynamical characteristics of these solutions are controlled by appropriately configuring the structural parameters in the derived solutions. Our investigation delves into the intricate features of these inhomogeneous vector optical rogue waves, with a particular focus on the effects of three longitudinally varying distinct dispersion parameters, namely exponential, kink-like and periodic. Throughout our study, we observe a wide spectrum of notable nonlinear phenomena in the intensity profiles of vector inhomogeneous rogue waves. These phenomena encompass deformation, enhancement, compression, stretching, suppression, and breathing behavior. The insights gained from this research hold significant promise for advancing the field of nonlinear optics, particularly in the realm of experimental investigations involving vector optical rogue waves in inhomogeneous birefringent fibers. |
| ArticleNumber | 405 |
| Author | Manigandan, M. Manikandan, K. Sirisubtawee, S. Muniyappan, A. Jakeer, S. |
| Author_xml | – sequence: 1 givenname: M. surname: Manigandan fullname: Manigandan, M. organization: Centre for Computational Modeling, Chennai Institute of Technology – sequence: 2 givenname: K. orcidid: 0000-0002-4392-7194 surname: Manikandan fullname: Manikandan, K. email: manikandank@citchennai.net organization: Centre for Computational Modeling, Chennai Institute of Technology – sequence: 3 givenname: A. surname: Muniyappan fullname: Muniyappan, A. organization: Centre for Computational Modeling, Chennai Institute of Technology – sequence: 4 givenname: S. surname: Jakeer fullname: Jakeer, S. organization: Department of Mathematics, The Apollo University – sequence: 5 givenname: S. surname: Sirisubtawee fullname: Sirisubtawee, S. organization: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok |
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| Snippet | In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger (CQNLS) equations with self-steepening, modeling optical pulse... |
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| StartPage | 405 |
| SubjectTerms | Applied and Technical Physics Atomic Behavior Complex Systems Condensed Matter Physics Conservation laws Deformation Longitudinal waves Mathematical and Computational Physics Mathematical models Molecular Nonlinear optics Nonlinear phenomena Optical and Plasma Physics Optical fibers Optics Parameters Physics Physics and Astronomy Propagation Pulse propagation Regular Article Schrodinger equation Theoretical |
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| Title | Deformation of inhomogeneous vector optical rogue waves in the variable coefficients coupled cubic–quintic nonlinear Schrödinger equations with self-steepening |
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