Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 1


ISSN 1609-1833 (Print)

OPTICAL SOLITONS FOR THE CONCATENATION MODEL WITH KERR LAW NONLINEARITY BY LIE SYMMETRY

Sushmita Kumari Dubey1, Sachin Kumar1, Sandeep Malik1, Anjan Biswas2,3,4,5, Anwar Jafaar Mohamad Jawad6, Yakup Yildirim7,8, Luminita Moraru9 and Ali Saleh Alshomrani3

1Department of Mathematics and Statistics, Central University of Punjab, Bathinda-151401, Punjab, India
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, Pretoria, South Africa
6Department of Computer Technical Engineering, Al Rafidain University College, 10064 Baghdad, Iraq
7Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
8Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
9Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania

ABSTRACT

This paper employs the Lie symmetry analysis to integrate the concatenation model studied with the Kerr law of self-phase modulation. The reduced ordinary differential equation is integrated using two approaches, which are the extended tanh method and the generalized Arnous’ approach. These yielded dark and singular solitons for the model.

Keywords: solitons, tanh method, Arnous' method

UDC: 535.32

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    У статті використовується аналіз симетрії Лі для інтеграції вивченої моделі конкатенації із законом Керра автофазової автомодуляції. Наведене звичайне диференціальне рівняння інтегрується з допомогою двох підходів: розширеного tanh- методу і узагальненого підходу Арнуса. Це дало темні та сингулярні солітони для моделі.

    Ключові слова: солітони, метод гіперболічного тангенсу, метод Арнуса

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