The soliton solutions for the (4 + 1)‐dimensional stochastic Fokas equation
Wael W. Mohammed, Clemente Cesarano
Abstract
In this paper, we look at the (4 + 1)‐dimensional stochastic Fokas equation (SFE) perturbed in the Itô sense by white noise. The tanh‐coth method and mapping method are used to acquire new trigonometric, hyperbolic, elliptic, and rational stochastic solutions. Also, we extend some earlier studies. Because the SFE equation is essential for describing different phenomena in ocean engineering, fluid mechanics and optics, the solutions obtained are useful in interpreting certain fascinating physical phenomena. To demonstrate how the multiplicative white noise affects the exact solutions of the SFE, we plot our figures in MATLAB and show several 3D graphical representations. We demonstrate how the solutions of SFE are stabilized by multiplicative white noise.