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

Abdul-Ghani  Al-Nowehy; Elsayed M. E.  Zayed; Ahmed H.  Arnous; Yakup  Yildirim; Luminita Moraru; Anjan Biswas

doi:10.37256/cm.6320256902

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

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.

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Published

2025-05-22

How to Cite

Al-Nowehy A-G, Zayed EME, Arnous AH, Yildirim Y, Moraru L, Biswas A. 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 2026 Jun. 4];6(3):3230-52. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6902

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Issue

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

Section

Research Article

License

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