Ukrainian Journal of Physical Optics


2023 Volume 24, Issue 2


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

Quiescent optical solitons with Kudryashov's generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion: generalized temporal evolution

1Ahmed H. Arnous, 2,3,4,5Anjan Biswas, 6Yakup Yildirim, 7Luminita Moraru, 5Maggie Aphane, 8Seithuti P. Moshokoa and 3Hashim M. Alshehri

1Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt
2Department of Mathematics and Physics, Grambling State University, Grambling, LA-71245, USA
3Mathematical Modeling and Applied Computation (MMAC) Research Group, 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, 34010 Istanbul, Turkey.
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 Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa

ABSTRACT

We derive stationary optical solitons for the case when the nonlinear refractive index of Kudryashov’s quintuple form is coupled with a nonlocal type of self-phase modulation in the presence of nonlinear chromatic dispersion. An enhanced Kudryashov’s approach has made this derivation of soliton solutions possible for the case of generalized temporal evolution.

Keywords: solitons, Kudryashov's method, dispersion, temporal evolution

UDC: 535.32

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    Одержано стаціонарні оптичні солітони для випадку форми Кудряшова з п’ятим степенем для нелінійного показника заломлення, поєднаної з нелокальним типом самофазової модуляції за наявності нелінійної хроматичної дисперсії. Удосконалений підхід Кудряшова дав можливість одержати солітонні розв’язки для випадку узагальненої часової еволюції.

    Ключові слова: солітони, метод Кудряшова, дисперсія, часова еволюція

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