Dispersive Optical Solitons with Radhakrishnan–Kundu–Lakshmanan Equation Having Multiplicative White Noise by Enhanced Kudryashov's Method and Extended Simplest Equation

Authors

  • Elsayed M. E. Zayed Mathematics Department, Faculty of Science, Zagazig University, Egypt
  • Reham M. A. Shohib Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Egypt
  • Mohamed E. M. Alngar Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Egypt
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University, USA
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Turkey and Department of Mathematics, Near East University, Cyprus
  • Anelia Dakova Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski” and Institute of Electronics, Bulgarian Academy of Sciences
  • Luminita Moraru Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, Romania
  • Hashim M. Alshehri Department of Mathematics, King Abdulaziz Universitym, Saudi Arabia

DOI:

https://doi.org/10.7546/CRABS.2023.06.04

Keywords:

solitons, white noise, Wiener process

Abstract

This article is about dispersive optical solitons with Radhakrishnan–Kundu–Lakshmanan equation with power-law of nonlinear refractive index in presence of multiplicative white noise by the usage of Itˆo calculus. The soliton solutions contain the Wiener process embedded into its phase component. Two integration algorithms make this retrieval possible and they are enhanced Kudryashov’s method and the extended simplest equation approach. 

Author Biographies

Elsayed M. E. Zayed, Mathematics Department, Faculty of Science, Zagazig University, Egypt

Mailing Address:
Mathematics Department,
Faculty of Science,
Zagazig University,
Zagazig–44519, Egypt,

E-mail: eme_zayed@yahoo.com

Reham M. A. Shohib, Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Egypt

Mailing Address:
Basic Science Department,
Higher Institute of Foreign Trade & Management Sciences,
New Cairo Academy
Cairo 379, Egypt

E-mail: r.shohib@yahoo.com

Mohamed E. M. Alngar, Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Egypt

Mailing Address:
Basic Science Department,
Faculty of Computers and Artificial Intelligence,
Modern University for Technology & Information
Cairo–11585, Egypt

E-mail: mohamed.alngar2010@yahoo.com

Anjan Biswas, Department of Mathematics and Physics, Grambling State University, USA

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, 115409 Moscow, Russian Federation

and

Department of Applied Sciences,
Cross-Border Faculty,
Dunarea de Jos University of Galati
111 Domneasca St, 800201 Galati, 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 Computer Engineering, Biruni University, Turkey and Department of Mathematics, Near East University, Cyprus

Mailing Address:
Department of Computer Engineering,
Biruni University,
34010 Istanbul, Turkey 

and

Department of Mathematics,
Near East University
99138 Nicosia, Cyprus

E-mail: yyildirim@biruni.edu.tr

Anelia Dakova, Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski” 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 Blvd,
1784 Sofia, Bulgaria

E-mail: anelia.dakova@gmail.com

Luminita Moraru, Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, Romania

Mailing Address:
Department of Chemistry, Physics and Environment,
Faculty of Sciences and Environment,
Dunarea de Jos University of Galati,
47 Domneasca St, 800008 Galati, Romania,

E-mail: luminita.moraru@ugal.ro

Hashim M. Alshehri, Department of Mathematics, King Abdulaziz Universitym, Saudi Arabia

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

E-mail: hmalshehri@kau.edu.sa

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Published

29-06-2023

How to Cite

[1]
E. Zayed, “Dispersive Optical Solitons with Radhakrishnan–Kundu–Lakshmanan Equation Having Multiplicative White Noise by Enhanced Kudryashov’s Method and Extended Simplest Equation”, C. R. Acad. Bulg. Sci. , vol. 76, no. 6, pp. 849–862, Jun. 2023.

Issue

Section

Physics