Ukrainian Journal of Physical Optics


2025 Volume 26, Issue 4


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

OPTICAL SOLITONS FOR THE DISPERSIVE CONCATENATION MODEL WITH KERR LAW OF SELF-PHASE MODULATION BY LIE SYMMETRY

R. Yadav, S. Kumar, A.M. Elsherbeny, Y. Yildirim, M.J. Jweeg, A.M.K. Al-Dulaimi, L. Moraru and A. Biswas

Author Information
1R. Yadav SCOPUS logo, 1S. Kumar ORCID logo SCOPUS logo, 2A.M. Elsherbeny SCOPUS logo, 3,4Y. Yildirim ORCID logo SCOPUS logo, 5M.J. Jweeg ORCID logo SCOPUS logo, 6A.M.K. Al-Dulaimi ORCID logo SCOPUS logo, 7,8L. Moraru ORCID logo SCOPUS logo, 9,10,11,12A. Biswas ORCID logo SCOPUS logo
1Department of Mathematics and Statistics, Central University of Punjab, Bathinda–151401, Punjab, India
2Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt
3Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
4Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
5Department of Aeronautical Technical Engineering, College of Technical Engineering, Al-Farihidi University, Baghdad-10015, Iraq
6Department of Communication Technical Engineering, College of Technical Engineering, Al-Farihidi University, Baghdad-10015, Iraq
7Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
8Department of Physics, School of Science and Technology, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
9Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
10Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
11Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
12Department of Physics and Electronics, Khazar University, Baku, AZ–1096, Azerbaijan

ABSTRACT

This study delves into the realm of new optical solitons within the framework of the dispersive concatenation model, specifically focusing on Kerr law self-phase modulation. The research employs Lie Symmetry Analysis to transform the complex governing equations into ordinary differential equations (ODEs). These ODEs are then tackled using two distinct methodologies: the F-expansion method and a novel generalized method. Through these approaches, a broad spectrum of soliton solutions is successfully derived, showcasing the robustness and effectiveness of the proposed techniques. Additionally, the physical interpretations of these solutions are illustrated via 3D profile plots, offering profound insights into the intricate behavior of the solitons.

Keywords: optical solitons, new generalized method, concatenation model, Lie symmetry analysis, F-expansion method, power-law

UDC: 535.32

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    Це дослідження заглиблюється в сферу нових оптичних солітонів у рамках моделі дисперсійної конкатенації, особливо зосереджуючись на самофазовій модуляції за законом Керра. Дослідження використовує симетричний аналіз Лі для перетворення складних керуючих рівнянь у звичайні диференціальні рівняння (ODE). Потім ці ODE розглядаються за допомогою двох різних методологій: методу F-розширення та нового узагальненого методу. За допомогою цих підходів успішно отримано широкий спектр солітонних рішень, що демонструє надійність і ефективність запропонованих методів. Крім того, фізичні інтерпретації цих рішень проілюстровано за допомогою 3D-профілів, які пропонують глибоке розуміння складної поведінки солітонів.

    Ключові слова: новий узагальнений метод, метод конкатенації, аналіз симетрії Лі, метод F-розкладу,степеневий закон, солітони

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