"

Cookies ussage consent

I agree.

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

Cubic–quartic optical solitons in fiber Bragg gratings with Fokas–Lenells equation and two algorithms

ELSAYED M. E. ZAYED1, REHAM M. A. SHOHIB1, MOHAMED E. M. ALNGAR2, ANJAN BISWAS3,4,5,6,7,* , YAKUP YIDIRIM8, ANELIA DAKOVA9,10, HASHIM M. ALSHEHRI4

Affiliation

  1. Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig–44519, Egypt
  2. Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo–11585, Egypt
  3. Department of Mathematics and Physics, Grambling State University, Grambling, LA–71245, USA
  4. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  5. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
  6. Department of Applied Sciences, Cross–Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
  7. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
  8. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
  9. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski", 24 Tsar Asen Street, 4000 Plovdiv, Bulgaria
  10. Institute of Electronics Bulgarian Academy of Sciences, 72 Tzarigradcko Shossee, 1784 Sofia, Bulgaria

Abstract

This paper presents cubic–quartic optical soliton solutions that come from Fokas–Lenells equation having dispersive reflectivity. Two integration algorithms granted success with this retrieval. They are –expansion and the extended simplest equation schemes. These expose the bright and singular soliton solutions to the model along with their existence criterion.

Keywords

Bragg gratings, Solitons, Fokas–Lenells equation.

Citation

ELSAYED M. E. ZAYED, REHAM M. A. SHOHIB, MOHAMED E. M. ALNGAR, ANJAN BISWAS, YAKUP YIDIRIM, ANELIA DAKOVA, HASHIM M. ALSHEHRI, Cubic–quartic optical solitons in fiber Bragg gratings with Fokas–Lenells equation and two algorithms, Optoelectronics and Advanced Materials - Rapid Communications, 16, 11-12, November-December 2022, pp.529-535 (2022).

Submitted at: April 27, 2022

Accepted at: Dec. 5, 2022