Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion

Authors

  • Abdul-Ghani Al-Nowehy Mathematics Department, Faculty of Education and Science, Taiz University, Taiz, 380015, Yemen
  • Elsayed M. E. Zayed Mathematics Department, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt
  • Ahmed H. Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, 11837, Egypt
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul, 34010, Turkey
  • Luminita Moraru Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Romania
  • Anjan Biswas Department of Mathematics & Physics, Grambling State University, Grambling, LA, 71245-2715, USA https://orcid.org/0000-0002-8131-6044 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.6320256902

Keywords:

solitons, integrability

Abstract

This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the generalized ϕ6-model expansion. The intermediary functions are the Jacobi’s elliptic functions and the Weierstrass’ elliptic functions. The parameter constraints for the existence of such solitons are also presented.

References

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Published

2025-05-22

Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

Copyright (c) 2025 Abdul-Ghani Al-Nowehy, Elsayed M. E. Zayed, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Anjan Biswas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion. Contemp. Math. [Internet]. 2025 May 22 [cited 2025 Dec. 24];6(3):3230-52. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6902