Optical Soliton Solutions of Stochastic Nonlinear Schrödinger Equation with Kerr Law Nonlinearity

Önder İ., Esen 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.99

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.99
  • Yıldız Technical University Affiliated: Yes


In this study, the stochastic nonlinear Schrödinger equation with kerr law nonlinearity was examined by utilizing the Kudryashov auxiliary equation method (KAEM). The first stage of the study was to obtain the dark soliton solution of the equation, and then to observe the stochastic effect on the model obtained. For this purpose, stochastic term was added to the equation in the framework of Ito calculus, wave transformation was defined and applied for the transition from nonlinear partial differential form to nonlinear ordinary differential form. Then, stochastic optical soliton solutions were obtained by using the KAEM method. Among the solutions obtained, those that provide the main equation were taken into consideration and graphic presentations were made over them. In order to clearly observe the stochastic effect, 2D graphics and detailed analyzes were made for different values of the noise strength parameter.