Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 1


ISSN 1609-1833 (Print)

OPTICAL SOLITONS FOR THE CONCATENATION MODEL WITH DIFFERENTIAL GROUP DELAY HAVING MULTIPLICATE WHITE NOISE

Ahmed H. Arnous1, Anjan Biswas2,3,4,5, Yakup Yildirim6,7, Anwar Jaafar Mohamad Jawad8, Luminita Moraru9, Simona Moldovanu10, Carmelia Mariana Balanica Dragomir4 and Ali Saleh Alshomrani3

1Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt
2Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
3Mathematical 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
4Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati-800201, Romania
5Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, South Africa
6Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
7Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
8Department of Computer Technical Engineering, Al-Rafidain University College, 10064 Baghdad, Iraq
9Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
10Department 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

ABSTRACT

This work recovers optical soliton solutions to the concatenation model with differential group delay in the presence of white noise along both the components. Two integration algorithms have successfully recovered a full spectrum of solitons solutions to the model. It has been proved that the effect of white noise is visible only in the phase portion of the solitons along both components.

Keywords: Wiener process, Kudryashov method, concatenation model, birefringence

UDC: 535.32

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    У цій роботі отримуються розв'язки оптичних солітонів в моделі конкатенації з диференціальною груповою затримкою, за умови наявності білого шуму в обох компонентах. Повний спектр розв'язків солітонів для цієї моделі отримано за допомогою двох алгоритмів інтегрування. Було показано, що вплив білого шуму спостерігається лише у фазі солітонів в обох компонентах.

    Ключові слова: вінерівський процес, метод Кудряшова, конкатенаційна модель, подвійне променезаломлення

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