Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 5


ISSN 1609-1833 (Print)

Dispersive Optical Solitons with Stochastic Radhakrishnan-Kundu-Lakshmanan Equation in Magneto-Optic Waveguides Having Power Law Nonlinearity and Multiplicative White Noise

1Elsayed M. E. Zayed, 2,3Khaled A. E. Alurrfi, 1Mona Elshater and 4,5Yakup Yildirim

1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2Department of Mathematics, Faculty of Science, Elmergib University, Khoms, Libya
3Department of Mathematical Sciences, The Libyan Academy, Tripoli, Libya
4Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
5Department of Mathematics, Near East University, 99138 Nicosia, Cyprus

ABSTRACT

In this paper, we introduce a coupled system of the stochastic Radhakrishnan-Kundu-Lakshmanan equation in magneto-optic waveguides for the first time. Power law nonlinearity and multiplicative white noise in the Itô sense are incorporated into the system. The two integration algorithms used are the extended simplest equation approach and the improved Kudryashov’s approach. This study uses computer algebra systems to present dark, bright, and singular solitons.

Keywords: optical solitons, white noise, magneto-optics waveguides, Radhakrishnan-Kundu-Lakshmanan equation

UDC: 535.32

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    У цій статті вперше представлена зв'язана система стохастичних рівнянь Радхакришнана-Кунду-Лакшманана для магнітооптичних хвилеводів. У систему введено степеневу нелінійність і мультиплікативний білий шум у розумінні Іто. Для інтегрування системи використовуються два алгоритми: розширений метод найпростішого рівняння та удосконалений підхід Кудряшова. З використанням систем комп’ютерних розрахунків у цій роботі отримані розв’язки для темних, світлих та сингулярних солітонів.

    Ключові слова: оптичні солінони, білий шум, магнітооптичні хвилеводи, рівняння Радхакрішнана–Кунду–Лакшманана

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