Dispersive Optical Solitons with Differential Group Delay Having Multiplicative White Noise by Itô Calculus

Author:

Zayed Elsayed M. E.1,Alngar Mohamed E. M.2ORCID,Shohib Reham M. A.3,Biswas Anjan45678,Yıldırım Yakup9,Moraru Luminita10ORCID,Moldovanu Simona11ORCID,Georgescu Puiu Lucian10

Affiliation:

1. Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt

2. Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt

3. Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cario 11765, Egypt

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

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

6. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia

7. Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania

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

9. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey

10. Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania

11. Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania

Abstract

The current paper recovers dispersive optical solitons in birefringent fibers that are modeled by the Schrödinger–Hirota equation with differential group delay and white noise. Itô Calculus conducts the preliminary analysis. The G′/G-expansion approach and the enhanced Kudryashov’s scheme gave way to a wide spectrum of soliton solutions with the white noise component reflected in the phase of the soliton.

Publisher

MDPI AG

Subject

Electrical and Electronic Engineering,Computer Networks and Communications,Hardware and Architecture,Signal Processing,Control and Systems Engineering

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