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

Abstract

This study intends to attain the optical soliton solutions of the stochastic Schrodinger-Hirota equation with Kerr law and spatio-temporal dispersion in Ito calculus. The Schrodinger-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.