Gap solitons in fiber bragg gratings having polynomial law of nonlinear refractive index and cubic–quartic dispersive reflectivity by lie symmetry.
Malik, Sandeep Kumar, Sachin Biswas, Anjan Yıldırım, Yakup Moraru, Luminita Moldovanu, Simona Iticescu, Catalina Moshokoa, Seithuti P. Bibicu, Dorin Alotaibi, Abdulaziz
Malik, Sandeep
Kumar, Sachin
Biswas, Anjan
Yıldırım, Yakup
Moraru, Luminita
Moldovanu, Simona
Iticescu, Catalina
Moshokoa, Seithuti P.
Bibicu, Dorin
Alotaibi, Abdulaziz
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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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Date
2023-04-23
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Publisher
MDPI
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Keywords
Polynomial, Lie symmetry, Solitons, Kudryashov, Arnous