Dispersive Optical Solitons for Schrödinger–Hirota Equation with Fourth–Order Dispersion and Multiplicative White Noise

Elsayed M. E.  Zayed; Mahmoud  El–Horbaty; Mohamed E. M.  Alngar; Mona  El–Shater; Anwar Jaafar Mohamad  Jawad; Anjan  Biswas; Yakup  Yıldırım

doi:10.6180/jase.202410_27(10).0004

Dispersive Optical Solitons for Schrödinger–Hirota Equation with Fourth–Order Dispersion and Multiplicative White Noise

Physics

Elsayed M. E. Zayed¹, Mahmoud El–Horbaty¹, Mohamed E. M. Alngar², Mona El–Shater¹, Anwar Jaafar Mohamad Jawad³, Anjan Biswas^4,5,6,7This email address is being protected from spambots. You need JavaScript enabled to view it., Yakup Yıldırım^8,9, and Ali Saleh Alshomrani⁵

¹Department of Mathematics, Faculty of Science, Zagazig University, Zagazig–44519, Egypt

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

³Department of Computer Technical Engineering, Al–Rafidain University College, 10064 Baghdad, Iraq

⁴Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA

⁵Mathematical 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

⁶Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania

⁷Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa

⁸Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey

⁹Department of Mathematics, Near East University, 99138 Nicosia, Cyprus

Received: October 31, 2023
Accepted: November 17, 2023
Publication Date: December 26, 2023

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202410_27(10).0004

The current paper addresses white noise in dispersive optical solitons that is governed by the Schrödinger–Hirota equation with parabolic law of nonlinearity. Additional dispersive effects come from the spatio–temporal dispersion and the fourth–order dispersion that are included. The sub–ordinary differential equation method is implemented to retrieve the soliton solutions along with cnoidal waves and their type. The effect of white noise stays confined to the phase of the determined solitons and cnoidal waves.

Keywords: Solitons; Dispersion; White noise; Sub–ODE

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