Dynamical behaviors, chaotic pattern, phase portraits and multiple optical solitons for coupled stochastic Schrödinger-Hirota system in magneto-optic waveguides with multiplicative white noise via Itô calculus

This work mainly concerned on the optical soliton solutions and chaotic pattern for the coupled stochastic Schrödinger-Hirota equation with multiplicative white noise in magneto-optic waveguides. Firstly, by means of traveling wave transformations and homogeneous balance principle, the the coupled stochastic Schrödinger-Hirota equation in magneto-optic waveguides is transformed into ordinary differential equation. By selecting some suitable parameters, phase diagrams are plotted with the help of the mathematical software Maple. Secondly, the optical soliton solutions of the coupled stochastic Schrödinger-Hirota equation corresponding to phase orbits can be easily deduced through the method of dynamical systems. Finally, the two-dimensional and three-dimensional graphs of the stochastic Schrödinger-Hirota equation are drawn, which further explain the propagation of the coupled stochastic Schrödinger-Hirota equation in nonlinear optics.