Cubic-Quartic Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity Having Parabolic Law of Nonlinear Refractive Index by Lie Symmetry
Sandeep Malik,
Sachin Kumar,
Anjan Biswas,
Yakup Yıldırım,
Luminita Moraru,
Simona Moldovanu,
Catalina Iticescu,
Hashim M. Alshehri
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, Istanbul 34010, 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
Hashim M. Alshehri
Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations to the corresponding ordinary differential equations which are subsequently integrated. This integration is conducted using two approaches which are the modified Kudryashov’s approach as well as the generalized Arnous’ scheme. These collectively yielded a full spectrum of cubic-quartic optical solitons that have been proposed to control the depletion of the much-needed chromatic dispersion. They range from bright, dark, singular to combo solitons. These solitons are considered with dispersive reflectivity, which maintains the necessary balance between chromatic dispersion and nonlinear refractive index structure for an uninterrupted transmission of solitons along intercontinental distances. Their respective surface and contour plots are also exhibited. A few closing words are included with some prospective future avenues of research to extend this topic further.
