Optical Solitons for the Dispersive Concatenation Model

Authors

  • Elsayed M. E. Zayed Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
  • Khaled A. Gepreel Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
  • Mahmoud El-Horbaty Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University, Grambling, LA, USA
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul, Turkey
  • Houria Triki Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, Annaba, Algeria
  • Asim Asiri Mathematical Modeling and Applied Computation Research Group, Center of Modern Mathematical Sciences and their Applications, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.4320233321

Keywords:

solitons, concatenation, Riccati, Weierstrass, Kudryashov

Abstract

The study undertakes a comprehensive exploration of optical solitons within the context of the dispersive concatenation model, utilizing three distinct integration algorithms. These approaches, namely the enhanced Kudryashov' s method, the Riccati equation expansion approach, and the Weierstrass' expansion scheme, offer distinct perspectives and insights into the behavior of optical solitons. By employing the enhanced Kudryashov' s approach, the research uncovers a spectrum of soliton solutions, including straddled, bright, and singular optical solitons. This algorithm not only provides a nuanced understanding of the various soliton types but also highlights the occurrence of singular solitons that exhibit unique characteristics. The Riccati equation expansion approach, on the other hand, yields dark solitons in addition to singular solitons. This particular method expands our comprehension of soliton behavior by encompassing the presence of dark solitons alongside singular ones. This diversification contributes to a more comprehensive grasp of soliton phenomena. Furthermore, the application of the Weierstrass' expansion scheme extends the analysis to encompass bright, singular, and other variations of straddled solitons. This method introduces further complexity and diversity to the optical soliton. Importantly, the study meticulously addresses the parameter constraints that govern the behavior of these solitons. By providing a comprehensive presentation of these constraints, the research enhances the practical applicability of the findings, offering insights into the conditions under which these soliton solutions emerge.

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Published

2023-09-11

How to Cite

1.
Zayed EME, Gepreel KA, El-Horbaty M, Biswas A, Yildirim Y, Triki H, Asiri A. Optical Solitons for the Dispersive Concatenation Model. Contemp. Math. [Internet]. 2023 Sep. 11 [cited 2024 Jun. 18];4(3):592-611. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3321

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