Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry
Sandeep Malik,
Sachin Kumar,
Anjan Biswas,
Yakup Yıldırım,
Luminita Moraru,
Simona Moldovanu,
Catalina Iticescu,
Seithuti P. Moshokoa,
Dorin Bibicu,
Abdulaziz Alotaibi
Affiliations
Sandeep Malik
Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India
Sachin Kumar
Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, India
Anjan Biswas
Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
Yakup Yıldırım
Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
Luminita Moraru
Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Simona Moldovanu
Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Catalina Iticescu
Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Seithuti P. Moshokoa
Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa
Dorin Bibicu
Department of Business Administration, Faculty of Economics and Business Administration, Dunarea de Jos University of Galati, 59-61 Nicolae Balcescu Street, 800001 Galati, Romania
Abdulaziz Alotaibi
Department of Industrial Engineering, University of Tabuk, Tabuk 45512, Saudi Arabia
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.
