Optical soliton solutions of Schrödinger-Hirota equation with stochastic distribution with multiplicative white noise and nonlinear parabolic law via Ito calculus

Çakıcıoğlu H., Özışık M., Seçer A., Bayram M.

(hybrid ) International Conference on Nonlinear Science and Complexity (ICNSC23,) July 10-15, 2023, Istanbul-Turkey, İstanbul, Turkey, 10 - 15 July 2023, pp.101

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.101
  • Yıldız Technical University Affiliated: Yes


In this study, our aim is to introduce the stochastic distribution Schrödinger-Hirota equation with multiplicative white noise and nonlinear parabolic law (SHEPL) through Ito calculation and to investigate its stochastic optical soliton solutions. To this end, we used the auxiliary and unified Riccati expansion of equations (UREEM) methods to generate analytical solutions. Firstly, we integrated multiplicative white noise with wave transform into SHEPL via Ito calculation and constructed the real and imaginary parts of nonlinear ordinary differential equation (NODE) form of SHEPL. We then introduced the solution algorithms of subversion of auxiliary and UREEM methods and successfully applied it to NODE. We composed analytical solutions of SHEPL using appropriate solution sets containing unknown parameters and required transformations. Then, we investigated the noise effect on the structure of soliton, we presented the graphical representations of these solutions and the research results. We obtained optical stochastic soliton solutions of SHEPL, reflected their graphical representations, and presented the effect of the noise factor on the obtained structure of solitons.