Ukrainian Journal of Physical Optics


2024 Volume 25, Issue 3


ISSN 1609-1833 (Print)

BIFURCATION ANALYSIS AND OPTICAL SOLITONS FOR THE DISPERSIVE CONCATENATION MODEL

1Lu Tang, 2,3Yakup Yildirim, 4Anwar Jaafar Mohamad Jawad, 5,6,7,8Anjan Biswas and 6Ali Saleh Alshomrani

1School of Mathematics and Physics, Chengdu University of Technology, Chengdu-610059, China
2Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
3Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
4Department of Computer Technical Engineering, Al Rafidain University College, 10064 Baghdad, Iraq
5Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA
66Mathematical 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
7Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, University of Galati, 111 Domneasca Street, Galati-800201, Romania
8Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, South Africa

ABSTRACT

This work carries out the bifurcation analysis of the dispersive concatenation model with Kerr law of self-phase modulation. The dynamical system is first formulated and the phase-plane portraits are analyzed. The corresponding soliton solutins are subsequently recovered from the analysis.

Keywords: bifurcation analysis, optical solitons, dispersive concatenation model

UDC: 535.32

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    Анотація. У цій роботі проведено біфуркаційний аналіз дисперсійної моделі конкатенації з законом Керра фазової самомодуляції. Cпочатку формулюється динамічна система і аналізуються фазово-площинні портрети. Після цього з аналізу відновлюються відповідні розв'язки солітонів.

    Ключові слова: біфуркаціний аналіз, оптичні солітони, дисперсійна модель конкатенації

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