On Optical soliton solutions of perturbed Fokas-Lenells equation having parabolic law with nonlocal nonlinearity in the presence of spatio-temporal dispersion


Seçer A., Önder İ., Özışık M., Bayram M., Özdemir N., Çınar M., ...Daha Fazla

17th International Conference on Engineering and Natural Sciences, Praha, Çek Cumhuriyeti, 3 - 07 Mayıs 2025, ss.27-28, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Doi Numarası: 10.5281/zenodo.15673348
  • Basıldığı Şehir: Praha
  • Basıldığı Ülke: Çek Cumhuriyeti
  • Sayfa Sayıları: ss.27-28
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This study investigates the optical soliton solutions of a perturbed Fokas–Lenells equation characterized by a parabolic law with nonlocal nonlinearity. The considered model incorporates higher-order dispersive and nonlinear effects, including spatio-temporal dispersion and self-steepening terms. This equation, which has contributed significantly to the complex optical transmission trend in recent years with the terms it contains, expresses the pulse propagation in optics. In order to explore the exact wave dynamics of the system, a recently developed and contemporary analytical technique, known as the addendum to the Kudryashov method, is employed. This novel approach enables the construction of a wide class of optical soliton solutions. As a result, bright, dark, and W-shaped like soliton solutions are successfully derived under specific parametric constraints. The influence of various parameters on the soliton structures is examined. The derived findings are further substantiated through a series of illustrative plots, where two-dimensional (2D) and three-dimensional (3D) graphical depictions are presented to visualize the amplitude and spatial-temporal evolution of the obtained solitons. Although no restrictions were encountered during the study, it is also known that the model has not been investigated before with the addendum to the Kudryashov method. The results obtained contain implications that will be taken into consideration not only for the model studied but also for other studies and researchers in the field of nonlinear optics in general.