On the soliton solutions of the stochastic Schrödinger-Hirota equation with Kerr law and spatio-temporal dispersion

ÖZIŞIK M., ÖZDEMİR N., SEÇER A., BAYRAM M., Cakicioglu H.

International Journal of Geometric Methods in Modern Physics, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0219887824400425
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Kerr law, optical fibers, Schrödinger-Hirota equation, Wiener process
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This study intends to attain the optical soliton solutions of the stochastic Schrödinger-Hirota equation with Kerr law and spatio-temporal dispersion in Itô calculus. The Schrödinger-Hirota equation is employed to describe daily life problems in dispersive optical fibers and nonlinear optics. The new Kudryashov scheme and a subversion of the new extended auxiliary equation scheme are implemented to achieve this purpose. As a result, the stochastic model's bright and dark soliton solutions are successfully derived by allocating appropriate parameter values. For the first time, the effects of noise impact on the solitons' dynamics are examined in detail and are depicted by various graphs. It is expected that the results and graphics obtained in this paper will shed light on researchers to fill the gaps in this branch.