Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 3


ISSN 1609-1833 (Print)

Quiescent Bright Optical Solitons for Radhakrishnan-Kundu-Lakshmanan Equation with Nonlinear Chromatic Dispersion and Power-Law of Self-Phase Modulation by Lie Symmetry

1Abdullahi Rashid Adem, 2,3,4,5Anjan Biswas, 6,7Yakup Yildirim, 8Anwar Jaafar Mohamad Jawad and 3Ali Saleh Alshomrani

1Department of Mathematical Sciences, University of South Africa, UNISA-0003, South Africa
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
7Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
8Department of Computer Technical Engineering, Al-Rafidain University College, 10064 Baghdad, Iraq

ABSTRACT

The current paper recovers quiescent optical solitons for the Radhakrishnan–Kundu–Lakshmanan equation with a power law of self–phase modulation and nonlinear chromatic dispersion. The Lie symmetry analysis leads to stationary bright optical soliton solutions for linear and generalized temporal evolution. The parameter constraints for the existence of such solitons are enumerated.

Keywords: bright solitons, quiescent solitons, Lie symmetry

UDC: 535.32

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    У цій статті продемонстрована можливість існування стаціонарних оптичні солітонів в моделі рівняння Радхакрішнана–Кунду–Лакшманана зі степеневим законом самофазової модуляції та нелінійною хроматичною дисперсією. Аналіз симетрії Лі приводить до появи стаціонарних світлих оптичних солітонних розв’язків при лінійній та узагальненій часовій еволюції. Встановлені параметричні обмеження для існування таких солітонів

    Ключові слова: світлі солітони, стаціонарні солітони, симетрія Лі

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