Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 2


ISSN 1609-1833 (Print)

QUIESCENT OPTICAL SOLITONS FOR THE COMPLEX GINZBURG-LANDAU EQUATION WITH NONLINEAR CHROMATIC DISPERSION AND KUDRYASHOV'S FORMS OF SELF-PHASE MODULATION

1Ahmed M. Elsherbeny, 2Ahmed H. Arnous, 3,4,5,6Anjan Biswas, 7,8Yakup Yildirim, 9Anwar Jaafar Mohamad Jawad and 4Ali Saleh Alshomrani

1Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University-11517, Cairo, Egypt
2Department of Physics and Engineering Mathematics, Higher Institute of Engineering El-Shorouk Academy, Cairo, Egypt
3Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
4Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
5Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati-800201, Romania
6Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, South Africa
7Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
8Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
9Department of Computer Technical Engineering, Al-Rafidain University College, 10064 Baghdad, Iraq.

ABSTRACT

This paper recovers quiescent optical solitons for the complex Ginzburg–Landau equation, studied with nonlinear chromatic dispersion and three of Kudryashov’s self–phase modulation structures. The enhanced Kudryashov's procedure has made retrieving a full spectrum of solitons possible.

Keywords: Kudryashov scheme, stationary solitons, bright solitons, dark solitons, singular solitons

UDC: 535.32

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    У цій статті відновлюються стаціонарні оптичні солітони для комплексного рівняння Гінзбурга–Ландау, яке вивчається з нелінійною хроматичною дисперсією та трьома структурами самомодуляції фази Кудряшова. Покращена процедура Кудряшова зробила можливим отримання повного спектру солітонів.

    Ключові слова: схема Кудряшова, нерухомі солітони, яскраві солітони, темні солітони, сингулярні солітони

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