Ukrainian Journal of Physical Optics


2025 Volume 26, Issue 3


ISSN 1816-2002 (Online), ISSN 1609-1833 (Print)

QUIESCENT OPTICAL SOLITONS IN MAGNETO-OPTIC WAVEGUIDES WITH KUDRYASHOV'S AND GENERALIZED NONLOCAL FORM OF SELF-PHASE MODULATION HAVING NONLINEAR CHROMATIC DISPERSION AND GENERALIZED TEMPORAL EVOLUTION

E.M.E. Zayed, M. El-Shater, A.H. Arnous, Y. Yildirim, A. Biswas, L. Moraru and C.M.B. Dragomir

Author Information
1E.M.E. Zayed ORCID logo, 1M. El-Shater ORCID logo, 2A.H. Arnous ORCID logo, 3,4Y. Yildirim ORCID logo, 5,6,7,8A. Biswas ORCID logo , 9,10L. Moraru ORCID logo, 7C.M.B. Dragomir ORCID logo
1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt
3Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
4Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
5Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
6Department of Physics and Electronics, Khazar University, Baku, AZ-1096, Azerbaijan
7Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati-800201, Romania
8Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, South Africa
9Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
10 Department of Physics, School of Science and Technology, Sefako Makgatho Health Sciences University, Medunsa-0204, Pretoria, South Africa

ABSTRACT

This paper retrieves quiescent optical solitons that merge from magneto-optic waveguides that maintain Kudryashov’s form of self–phase modulation coupled with a generalized form of non–local nonlinearity. The model also comes with nonlinear chromatic dispersion and is considered with generalized temporal evolution. The enhanced direct algebraic method has made this retrieval possible. A full spectrum of solitons is thus recovered through the intermediary Jacobi’s elliptic functions as well as Weierstrass’ elliptic functions. The parameter constraints for the existence of such solitons are also enumerated.

Keywords: solitons, algebraic method, cnoidal waves

UDC: 535.32

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    У цій статті отримуються розв’язки спокійних оптичних солітонів, що виникають у магніто-оптичних хвилеводах, які зберігають форму самофазової модуляції Кудряшова в поєднанні з узагальненою формою нелокальної нелінійності. Модель також враховує нелінійну хроматичну дисперсію та розглядається з урахуванням узагальненої часової еволюції. Завдяки вдосконаленому прямому алгебраїчному методу стало можливим отримання таких солітонів. Таким чином, повний спектр солітонів відновлюється за допомогою проміжних еліптичних функцій Якобі, а також еліптичних функцій Вейєрштраса. Також перераховані параметричні обмеження для існування таких солітонів.

    Ключові слова: солітони, алгебраїчний метод. кноідальні хвилі

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