Ukrainian Journal of Physical Optics


2026 Volume 27, Issue 2


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

QUIESCENT SOLITONS IN MAGNETO-OPTIC WAVEGUIDES HAVING KUDRYASHOV'S FIRST FORM OF NONLINEAR SELF-PHASE MODULATION STRUCTURE

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

Author Information
1E.M.E. Zayed ORCID logo, 2B.M.M. Saad SCOPUS logo, 3,4A.H. Arnous ORCID logo, 5,6Y. Yildirim ORCID logo, 7,8,9,*A. Biswas ORCID logo , 10,11L. Moraru ORCID logo, 12C.M.B. Dragomir ORCID logo
1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2Department of Mathematics, Faculty of Science, Arish University, North Sinai, Egypt
3Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS Chennai - 602105, Tamilnadu, India
4Research Center of Applied Mathematics, Khazar University, Baku, AZ 1096, Azerbaijan
5Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
6Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
7Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
8Department of Physics and Electronics, Khazar University, Baku, AZ—1096, Azerbaijan
9Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
10Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
11Department of Physics, School of Science and Technology, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
12Department of Applied Sciences, Cross—Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati—800201, Romania
*Corresponding author: biswas.anjan@gmail.com

ABSTRACT

This paper reports the observation of quiescent optical solitons in magneto–optic waveguides. The self–phase modulation structure is based on the one proposed by Kudryashov. Three algorithms have enabled this retrieval: the enhanced direct algebraic method, the extended auxiliary equation approach, and the new mapping scheme. Together, these methods have recovered a full spectrum of quiescent optical solitons. The parameter constraints for their existence are also included. A few numerical simulations demonstrate the analytical results

Keywords: solitons, magneto-optics, auxiliary algorithm, mapping scheme; algebraic approach

UDC: 535.8; 535.14; 537.86

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    Ця стаття описує отримання спокійних оптичних солітонів у магнітооптичних хвилеводах. Структури само фазової модуляції, що використовуються, були запропоновані Кудряшовим. Три алгоритми інтегрування зробили можливим отримання цих розв’язків. Вдосконалений прямий алгебраїчний метод, розширений підхід до допоміжних рівнянь та нова схема відображення разом дозволили відновити повний спектр спокійних оптичних солітонів. Також наведені параметричні обмеження для існування таких солітонів. Декілька чисельних симуляцій ілюструють аналітичний результат. Ключові слова: солітони, магнітооптика, допоміжний алгоритм, схема відображення; алгебраїчний підхід

    Ключові слова: солітони, магнітооптика, допоміжний алгоритм, схема відображення; алгебраїчний підхід

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