https://doi.org/10.1140/epjp/s13360-024-05636-8
Regular Article
Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach
1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2 Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt
3 Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey
4 Mathematics Research Center, Near East University, 99138, Nicosia, Cyprus
5 Department of Computers Techniques Engineering, College of Technical Engineering, The Islamic University, Najaf, Iraq
6 Department of Computers Technique Engineering, College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, Iraq
7 Department of Computers Techniques Engineering, College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq
8 Department of Computer Technical Engineering, Al-Rafidain University College, 10064, Baghdad, Iraq
9 Department of Physics, School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore, 641112, Coimbatore, India
10 Department of Mathematics and Physics, Grambling State University, 71245-2715, Grambling, LA, USA
11 Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201, Galati, Romania
12 Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, 0204, Medunsa, South Africa
Received:
11
August
2024
Accepted:
9
September
2024
Published online: 9 October 2024
Revisiting the study of quiescent optical solitons with quintuple-power-law self-phase modulation and nonlinear chromatic dispersion is the focus of the current paper. The soliton solutions to the model are revealed through the intermediary Jacobi’s elliptic functions using the enhanced direct algebraic method. The intermediary Weierstrass’ elliptic functions are used by the sub-ODE approach to reveal such quiescent soliton solutions.
Key words: 060.2310 / 060.4510 / 060.5530 / 190.3270 / 190.4370
© The Author(s) 2024
Open Access
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