Article detail · 2026
On the soliton solutions of the stochastic Schrodinger-Hirota equation with Kerr law and spatio-temporal dispersion
International Journal of Geometric Methods in Modern Physics
- Year
- 2026
- ISSN
0219-8878- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
English (OpenAlex)
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.
Topics
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Advanced Mathematical Physics Problems
Primary topic Nonlinear Waves and Solitons