OPTICAL SOLITON WAVE SOLUTIONS OF THE FRACTIONAL COMPLEX PARAXIAL WAVE DYNAMICAL MODEL ALONG WITH KERR MEDIA

Mostafa M. A. Khater, Aliaa Mahfooz Alabdali, Arwa Mashat and Samir A. Salama
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Mostafa M. A. Khater: Department of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, P. R. China2Department of Mathematics, Obour High Institute for Engineering and Technology, 11828 Cairo, Egypt
Aliaa Mahfooz Alabdali: Faculty of Computing and Information Technology, King Abdulaziz University, P. O. Box 411, Rabigh, Saudi Arabia
Arwa Mashat: Faculty of Computing and Information Technology, King Abdulaziz University, P. O. Box 411, Rabigh, Saudi Arabia
Samir A. Salama: Division of Biochemistry, Department of Pharmacology, College of Pharmacy, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-17

Abstract: This paper studies the optical soliton wave solutions of the fractional complex paraxial wave dynamical (FPWD) model with Kerr media. This model investigates the frequency of the beam obeying that reveals non-dispersive and non-diffractive Spatio-temporal localized wave envelopes promulgating in optical Kerr media. This model is equivalently the well-known nonlinear Schrödinger equation. These two models concentrate on the nonlinear visual medium to increase its strength and increase the nonlinear optical operation’s efficiency. Three recent computational schemes are employed to investigate the considered model’s abundant wave solutions; these solutions are then used to evaluate the initial and boundary conditions. The solutions’ accuracy is investigated by calculating the absolute error between solutions exact and approximate solutions. Additionally, the solution’s stability is checked by employing Hamiltonian system properties. The results’ physical interpretation is explained through some different sketches in 2D, 3D, and density plots.

Keywords: Fractional Paraxial Wave Dynamical Model with Kerr Media; Analytical and Semi-Analytical Simulations; Optical Wave Solution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401533

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