Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

Sandeep Malik,Yakup Yıldırım,Seithuti P Moshokoa,Abdulaziz Alotaibi,Catalina Iticescu,Simona Moldovanu,Luminita Moraru,Anjan Biswas,Sachin Kumar,Dorin Bibicu

doi:10.3390/sym15050963

Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry

Sandeep Malik, Yakup Yıldırım + Show 8 more

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https://doi.org/10.3390/sym15050963

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Journal: Symmetry	Publication Date: Apr 23, 2023
Citations: 13	License type: CC BY 4.0

Affiliation: Biruni University, Tshwane University of Technology, University of Tabuk, "Dunarea de Jos" University of Galati, Moscow Engineering Physics Institute, Grambling State University, Sefako Makgatho Health Sciences University, King Abdulaziz University, Central University of Punjab

#Solitons In Fiber Bragg Gratings #Bragg Gratings + Show 8 more

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Abstract

The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.

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