Ukrainian Journal of Physical Optics


2022, Volume 23, Issue 1


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

Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law of nonlinear refractive index

1Yakup Yıldırım, 2,3,4,5Anjan Biswas, 5Salam Khan, 6M. F. Mahmood, 2Hashim M. Alshehri

1Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus
2Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
3Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
4Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa—0204, Pretoria, South Africa
5Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA
6Department of Mathematics, Howard University, Washington, DC-20059, USA

ABSTRACT

This paper retrieves highly dispersive optical solitons with the Kudryashov’s nonlinear form for the first time. The Hamiltonian perturbation terms are addressed with maximum intensity. Twin singular, dark, bright and singular soliton solutions are yielded by means of two integration schemes. These soliton solutions appear with certain restriction on their parameters that are also enumerated.

Keywords: solitons, Kudryashov, dispersive, perturbation
UDC: 535.32

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    Уперше одержано високодисперсні оптичні солітони із нелінійної форми Кудряшова. Розглянуто гамільтонові члени збурення з параметром максимальної інтенсивності. За допомогою двох різних схем інтегрування одержано подвійні сингулярні, темні, яскраві та сингулярні солітонні розв’язки. Ці розв’язки з’являються за певних обмежень на модельні параметри, які детально проаналізовано нами.

    Ключові слова: солітони, Кудряшов, дисперсія, збурення.
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