Numerical Simulation of Highly Dispersive Dark Optical Solitons with Kerr Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition Method

Authors

  • Oswaldo González-Gaxiola Applied Mathematics and Systems Department, Universidad Autónoma Metropolitana-Cuajimalpa, Mexico
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University and Department of Mathematics, King Abdulaziz University and Department of Applied Mathematics, National Research Nuclear University, Russia, and Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, Romania, and Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, South Africa
  • Yakup Yildirim Department of Mathematics, Faculty of Arts and Sciences, Near East University, Cyprus
  • Anelia Dakova Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, Bulgaria and Institute of Electronics, Bulgarian Academy of Sciences

DOI:

https://doi.org/10.7546/CRABS.2023.05.03

Keywords:

nonlinear Schrödinger equation, highly dispersive dark solitons, Kerr type of nonlinearity, optical fibre, Laplace-transform, Adomian polynomials

Abstract

This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported using this scheme with highly precise accuracy and the error measure is stunningly low. The surface plots, density plots and error plots are exhibited for different parameter choices. The simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

Author Biographies

Oswaldo González-Gaxiola, Applied Mathematics and Systems Department, Universidad Autónoma Metropolitana-Cuajimalpa, Mexico

Mailing Address:
Applied Mathematics and Systems Department,
Universidad Autónoma Metropolitana-Cuajimalpa
Vasco de Quiroga 4871
05348 Mexico City, Mexico

E-mail: ogonzalez@cua.uam.mx

Anjan Biswas, Department of Mathematics and Physics, Grambling State University and Department of Mathematics, King Abdulaziz University and Department of Applied Mathematics, National Research Nuclear University, Russia, and Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, Romania, and Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, South Africa

Mailing Address:

Department of Mathematics and Physics,
Grambling State University
Grambling, LA--71245, USA

and

Mathematical Modeling and Applied Computation (MMAC) Research Group,
Department of Mathematics,
King Abdulaziz University
Jeddah–21589, Saudi Arabia

and

Department of Applied Mathematics.
National Research Nuclear University
31 Kashirskoe Hwy
Moscow–115409,
Russian Federation

and

Department of Applied Sciences,
Cross-Border Faculty,
Dunarea de Jos University of Galati
111 Domneasca St
Galati–800201, Romania

and

Department of Mathematics and Applied Mathematics,
Sefako Makgatho Health Sciences University
Medunsa–0204, South Africa

E-mail: biswas.anjan@gmail.com

Yakup Yildirim, Department of Mathematics, Faculty of Arts and Sciences, Near East University, Cyprus

Mailing Address:
Department of Mathematics,
Faculty of Arts and Sciences,
Near East University
99138 Nicosia, Cyprus

E-mail: yakupyildirim110@gmail.com

Anelia Dakova, Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, Bulgaria and Institute of Electronics, Bulgarian Academy of Sciences

Mailing Address:
Physics and Technology Faculty,
University of Plovdiv “Paisii Hilendarski”
24 Tsar Asen St
4000 Plovdiv, Bulgaria

and

Institute of Electronics,
Bulgarian Academy of Sciences
72 Tsarigradsko Shosse
1784 Sofia, Bulgaria

E-mail: anelia.dakova@gmail.com

Downloads

Published

29-05-2023

How to Cite

[1]
O. González-Gaxiola, A. Biswas, Y. Yildirim, and A. Dakova, “Numerical Simulation of Highly Dispersive Dark Optical Solitons with Kerr Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition Method”, C. R. Acad. Bulg. Sci. , vol. 76, no. 5, pp. 677–688, May 2023.

Issue

Vol. 76 No. 5 (2023)

Section

Physics

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