Ukrainian Journal of Physical Optics


2023 Volume 24, Issue 4


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

Optical solitons and group invariants for Chen-Lee-Liu equation with time-dependent chromatic dispersion and nonlinearity by Lie symmetry

1Rahul Kumar, 1Rajeev Kumar, 2Anupma Bansal, 3,4,5,6Anjan Biswas, 7Yakup Yildirim, 8Seithuti P. Moshokoa and 4Asim Asiri

1Department of Mathematics, Maharishi Markandeshwar Deemed to be University, Mullana, Ambala-133001 (Haryana), India.
2Department of Mathematics, D.A.V. College for Women, Ferozepur-152001 (Punjab), India.
3Department of Mathematics and Physics, Grambling State University, Grambling, LA-71245, USA.
4Mathematical 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.
5Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati-800201, Romania.
6Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, Pretoria, South Africa.
7Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey.
8Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa.

ABSTRACT

This paper uses the classical Lie symmetry method for optical solitons to study the Chen-Lee-Liu equation. We are able to establish symmetries that convert the model into a set of ordinary differential equations and obtain solutions of the reduced equations through various methods

Keywords: solitons; Chen-Lee-Liu equation; Lie symmetry analysis

UDC: 535.32

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    У цій статті вивчається рівняння Чена-Лі-Лю з використанням класичного методу симетрії Лі для оптичних солітонів. Продемонстровано можливість встановлення симетрій, які перетворюють модель на набір звичайних диференціальних рівнянь і отримання розв’язків скорочених рівнянь різними методами

    Ключові слова: солітони, рівняння Чен-Лі-Лю, аналіз симетрії Лі

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