Abstract
In this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics. Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. Finally, two-dimensional planar dynamical systems and its disturbance systems are considered by using Mathematical software. Some meaningful phase diagrams have been drawn by mathematical software to explain the dynamic behavior of two-dimensional dynamics and its perturbed systems.
Published Version
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