Investigating the effects of multiplicative white noise on solitons in birefringent fibers through the perturbed Kundu-Eckhaus equation with high dispersion


Zayed E. M. E., Gepreel K. A., El-Horbaty M., Hashemi M. S., Arnous A. H., SEÇER A., ...More

Indian Journal of Physics, vol.99, no.12, pp.4725-4745, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 99 Issue: 12
  • Publication Date: 2025
  • Doi Number: 10.1007/s12648-025-03689-8
  • Journal Name: Indian Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, zbMATH
  • Page Numbers: pp.4725-4745
  • Keywords: Kudryashov, Kundu-Eckhaus equation, Riccati equation, Solitons, Sub-ODE method
  • Yıldız Technical University Affiliated: Yes

Abstract

The study of highly dispersive optical solitons in birefringent fibers is crucial for advancing high-speed optical communication and nonlinear fiber optics. In this research, we analyze the properties of such solitons by employing the eighth-order nonlinear perturbed Kundu–Eckhaus equation, incorporating multiplicative white noise in the Itô sense. To this end, we apply three robust analytical methods: the addendum to Kudryashov’s method, the unified Riccati equation expansion method, and the addendum to the modified sub-ODE method. These techniques enable the derivation of explicit solutions relevant to various physical and engineering problems. Our analysis reveals multiple soliton solutions, including Jacobi elliptic solutions, bright solitons, straddled solitary solutions, singular solitons, and Weierstrass elliptic functions. The findings significantly contribute to the understanding of nonlinear optical pulse propagation in birefringent fibers, potentially enhancing the design and optimization of advanced optical communication systems. These results offer deeper insight into soliton dynamics and provide new perspectives on practical applications in fiber optics and nonlinear wave theory.