Highly Dispersive Optical Gap Solitons with Kundu-Eckhaus Equation Having Multiplicative White Noise

Authors

  • Elsayed M. E. Zayed Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
  • Reham M. A. Shohib Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cairo 379, Egypt
  • Mohamed E. M. Alngar Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt
  • Mona El-Shater Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA https://orcid.org/0000-0002-8131-6044
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey
  • Anwar Ja’afar Mohamad Jawad Department of Computer Technical Engineering, Al-Rafidain University College, Baghdad-10064, Iraq
  • Ali Saleh Alshomrani Mathematical 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

DOI:

https://doi.org/10.37256/cm.5220244141

Keywords:

gap solitons, Bragg gratings, Kundu-Eckhaus

Abstract

This paper explores the dynamics of highly dispersive gap solitons within the framework of the Kundu-Eckhaus equation, augmented by the inclusion of multiplicative white noise in the Itô sense, a novel addition to the model. Two integration schemes, the extended simplest equation approach and the generalized Riccati equation mapping scheme, are employed to analyze and integrate the model. Despite yielding bright, singular, and dark-singular straddled solitons, both methods independently fail to capture dark optical solitons. Additionally, our investigation highlights that the influence of white noise predominantly affects the phase aspect of the solitons, with negligible impact on their amplitude. Further details regarding the specific physical system or optical medium under study would provide readers with context, aiding in the comprehension of the significance of our findings.

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Published

2024-04-28

How to Cite

1.
Zayed EME, Shohib RMA, Alngar MEM, El-Shater M, Biswas A, Yildirim Y, Jawad AJM, Alshomrani AS. Highly Dispersive Optical Gap Solitons with Kundu-Eckhaus Equation Having Multiplicative White Noise. Contemp. Math. [Internet]. 2024 Apr. 28 [cited 2024 May 28];5(2):1936-52. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/4141

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