Ukrainian Journal of Physical Optics 

Volume 22, Issue 4, 2021
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Cubic–quartic optical solitons having quadratic–cubic nonlinearity by sine–Gordon equation approach

1Yakup Yıldırım, 2,3,4,5Anjan Biswas, 6,7Anelia Dakova, 5Padmaja Guggilla, 5Salam Khan, 3Hashim M. Alshehri and 8Milivoj R. Belic

1Department of Mathematics, Faculty of Arts and Sciences, Near East   University, 99138 Nicosia, Cyprus
2Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
3Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
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
6Physics and Technology Faculty, University of Plovdiv ``Paisii Hilendarski", 24 Tsar Asen Street, 4000 Plovdiv, Bulgaria
7Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko Shossee, 1784 Sofia, Bulgaria
8Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia

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Abstract. This paper recovers cubic–quartic optical solitons with quadratic–cubic nonlinearity for the first time. Both polarization–preserving fibers as well as birefringent fibers are considered. The study is subsequently extended to include perturbation terms that are of Hamiltonian type. The adopted integration algorithm is the sine–Gordon equation method

Keywords: solitons, quadratic–cubic nonlinearity, birefringence, perturbation

UDC: 535.32
Ukr. J. Phys. Opt. 22 255-269
doi: 10.3116/16091833/22/4/255/2021
Received: 22.10.2021

Анотація. Вперше виявлено кубічно-квартичні оптичні солітони з квадратично-кубічної нелінійністю. Розглянуто як поляризаційні волокна, так і волокна з подвійним заломленням. Дослідження також розширено на випадок розгляду членів збурення гамільтонового типу. Алгоритмом інтегрування, прийнятим у цій роботі, є метод рівняння синус-Гордона.

Ключові слова: солітони, квадратично-кубічна нелінійність, подвійне заломлення, збурення
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