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, vol.23, no.1, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.1142/s0219887824400425
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Kerr law, optical fibers, Schrödinger–Hirota equation, Wiener process
  • Yıldız Technical University Affiliated: Yes

Abstract

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.