Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides

In this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion. The NLSE is the most significant physical model to...

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Main Authors: Jan Muhammad, Muhammad Bilal Riaz, Usman Younas, Naila Nasreen, Adil Jhangeer, Dianchen Lu
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Arab Journal of Basic and Applied Sciences
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Online Access:https://www.tandfonline.com/doi/10.1080/25765299.2024.2337469
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author Jan Muhammad
Muhammad Bilal Riaz
Usman Younas
Naila Nasreen
Adil Jhangeer
Dianchen Lu
author_facet Jan Muhammad
Muhammad Bilal Riaz
Usman Younas
Naila Nasreen
Adil Jhangeer
Dianchen Lu
author_sort Jan Muhammad
collection DOAJ
description In this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion. The NLSE is the most significant physical model to explain the fluctuations of optical soliton proliferation. The NLSEs have become more popular because of the clarity with which they explain a wide range of complex physical phenomena and the depth with which they display dynamical patterns via localized wave solutions. Optical soliton propagation in magneto-optic is currently a subject of great interest due to the multiple prospects for ultrafast signal routing systems and short light pulses in communications. The optical solitons are secured in the forms of bright, dark, singular and combo solitons. In addition, hyperbolic, periodic and exponential function solutions have been recovered. The modified Sardar subequation and enhanced modified extended tanh-expansion approaches recently developed integration tools are adopted in this study for securing the solutions. In nonlinear dispersive media, optical solitons are stretched electromagnetic waves that maintain their intensity due to a balance between the effects of dispersion and nonlinearity. The effect of parameters have been observed by allotting suitable values and sketching the different shapes of the graphs.
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issn 2576-5299
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publishDate 2024-12-01
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series Arab Journal of Basic and Applied Sciences
spelling doaj-art-9c2c616039bf4cd1bcfe775bce3ad5d02025-08-20T02:49:26ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-0131124225410.1080/25765299.2024.2337469Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguidesJan Muhammad0Muhammad Bilal Riaz1Usman Younas2Naila Nasreen3Adil Jhangeer4Dianchen Lu5Department of Mathematics, Shanghai University, Shanghai, ChinaIT4Innovations, VSB – Technical University of Ostrava, Ostrava, Czech RepublicDepartment of Mathematics, Shanghai University, Shanghai, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu, People’s Republic of ChinaIT4Innovations, VSB – Technical University of Ostrava, Ostrava, Czech RepublicFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu, People’s Republic of ChinaIn this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion. The NLSE is the most significant physical model to explain the fluctuations of optical soliton proliferation. The NLSEs have become more popular because of the clarity with which they explain a wide range of complex physical phenomena and the depth with which they display dynamical patterns via localized wave solutions. Optical soliton propagation in magneto-optic is currently a subject of great interest due to the multiple prospects for ultrafast signal routing systems and short light pulses in communications. The optical solitons are secured in the forms of bright, dark, singular and combo solitons. In addition, hyperbolic, periodic and exponential function solutions have been recovered. The modified Sardar subequation and enhanced modified extended tanh-expansion approaches recently developed integration tools are adopted in this study for securing the solutions. In nonlinear dispersive media, optical solitons are stretched electromagnetic waves that maintain their intensity due to a balance between the effects of dispersion and nonlinearity. The effect of parameters have been observed by allotting suitable values and sketching the different shapes of the graphs.https://www.tandfonline.com/doi/10.1080/25765299.2024.2337469Enhanced modified extended tanh-expansion approachfractional derivativemodified sardar subequation methodoptical solitonsquadratic–cubic nonlinearity
spellingShingle Jan Muhammad
Muhammad Bilal Riaz
Usman Younas
Naila Nasreen
Adil Jhangeer
Dianchen Lu
Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
Arab Journal of Basic and Applied Sciences
Enhanced modified extended tanh-expansion approach
fractional derivative
modified sardar subequation method
optical solitons
quadratic–cubic nonlinearity
title Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
title_full Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
title_fullStr Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
title_full_unstemmed Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
title_short Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides
title_sort extraction of optical wave structures to the coupled fractional system in magneto optic waveguides
topic Enhanced modified extended tanh-expansion approach
fractional derivative
modified sardar subequation method
optical solitons
quadratic–cubic nonlinearity
url https://www.tandfonline.com/doi/10.1080/25765299.2024.2337469
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AT nailanasreen extractionofopticalwavestructurestothecoupledfractionalsysteminmagnetoopticwaveguides
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