Analysis of nonlinear evolution equations (EEs) arising in soliton theory stems from their fundamental importance in physics and their many implications deepen our understanding of emergent phenomena and nonlinear dynamics. In this article, we consider two (3+1)-dimensional nonlinear EEs that have applications in fluid and plasma physics. The main focus of the paper is to apply the modified tanh method (MTM) which is associated with Riccati eqaution, to the considered nonlinear EEs. Furthermore, the stochastic dynamics are investigated via adding white noise in terms ofWeiner process in the both equations. The results are graphically studied in 3D and 2D, to show the deterministic and stochastic dynamics of different solitary waves.
Faryad et al. (Fri,) studied this question.