https://doi.org/10.1140/epjp/s13360-024-05252-6
Regular Article
Quiescent optical solitons for Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures
1
Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, 11517, Cairo, Egypt
2
Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El–Shorouk Academy, Cairo, Egypt
3
Department of Mathematics and Physics, Grambling State University, 71245–2715, Grambling, LA, USA
4
Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
5
Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201, Galati, Romania
6
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, 0204, Medunsa, South Africa
7
Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
8
Mathematics Research Center, Near East University, 99138, Nicosia, Cyprus
9
Department of Computer Technical Engineering, Al–Rafidain University College, 10064, Baghdad, Iraq
Received:
10
March
2024
Accepted:
7
May
2024
Published online:
4
June
2024
The focus of the current paper is on the retrieval of quiescent optical solitons from Fokas–Lenells equation with nonlinear chromatic dispersion and having quadratic–cubic as well as quadratic–cubic–quartic forms of self-phase modulation structures. Two integration algorithms are implemented to carry out to seek such soliton solutions. They are the enhanced Kudryashov’s approach and the projective Riccati equation approach. In this context, both linear temporal evolution and generalized temporal evolution effects are addressed. A full spectrum of quiescent optical solitons is thus recovered.
© The Author(s) 2024
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