Ukrainian Journal of Physical Optics


2023 Volume 24, Issue 2


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

Optical solitons for the concatenation model with Kudryashov`s approaches

1Akshat Kukkar, 1Sachin Kumar, 1Sandeep Malik, 2,3,4,5Anjan Biswas, 6,7Yakup Yildirim, 8Seithuti P. Moshokoa, 9Salam Khan and 3Abdulah A. Alghamdi

1Department of Mathematics and Statistics, Central University of Punjab, Bathinda-151401, Punjab, India
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 Mathematics, Near East University, 99138 Nicosia, Cyprus
8Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
9Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA

ABSTRACT

This paper implements two of Kudryashov’s approaches to extract optical soliton solutions to the concatenation model that is a conjunction of the nonlinear Schrödinger’s equation, Lakshmanan–Porsezian–Daniel model, and the Sasa–Satsuma equation. A full spectrum of soliton solutions emerged along with the parameter constraints that are all comprehensively presented.

Keywords: solitons, concatenation model, Kudryashov approach

UDC: 535.32

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    У цій статті реалізовано два підходи Кудряшова для виділення оптичних солітонних розв’язків моделі конкатенації, яка є кон’юнкцією нелінійного рівняння Шредінгера, моделі Лакшманана–Порсезіана–Даніеля та рівняння Саса–Сацуми. Отримано повний спектр солітонних рішень разом із обмеженнями параметрів, які вичерпно представлені в роботі.

    Ключові слова: солітони, модель конкатенації, підходи Кудряшова

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