Highly dispersive gap solitons with the Kaup{Newell in ¯ber Bragg grating with white noise e®ects

Zayed E. M., El-Shater M., Murad M. A. S., SEÇER A., ÖZIŞIK M., Arnous A. H.

Modern Physics Letters B, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0217984925501295
  • Dergi Adı: Modern Physics Letters B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: (GG0)-expansion method, enhanced direct algebraic method, Kaup{Newell model, Optical solitons, white noise, ¯ber Bragg grating
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This study introduces an innovative examination of the stochastic Kaup{Newell equation within the realm of ¯ber Bragg grating, signifying a pioneering e®ort in this area. The study uses two main methods for integration: the (GG0 )-expansion method and the enhanced direct algebraic method to ¯nd di®erent one-step solutions to the Kaup{Newell equation. The outcomes of this research are multifaceted, revealing an array of optical soliton solutions such as dark, singular, bell-shaped, kink-shaped, bright, and straddled solitons. These ¯ndings contribute a novel perspective on the behavior of optical solitons in ¯ber Bragg gratings, which are essential for optical communications and signal processing. Additionally, applying numerical schemes to these analytically obtained solutions o®ers a detailed visualization of their characteristics and behaviors, enhancing our understanding of their potential in practical scenarios. This work extends the range of soliton solution types for application and paves the way for subsequent explorations in the ¯eld of nonlinear optical systems.