The effect of multiplicative noise on the exact solutions of the stochastic Burgers' equation

In this paper, we consider the stochastic Burgers' equation, which is forced by multiplicative noise in the Stratonovich sense. To get a new trigonometric and hyperbolic stochastic solutions, we apply exp(-phi(mu))-expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.

Automated summary

This paper investigates the stochastic Burgers' equation forced by multiplicative noise in the Stratonovich sense, using the exp(-phi(mu))-expansion method to obtain new trigonometric and hyperbolic stochastic solutions. The impact of multiplicative noise on the exact solutions of the Burgers' equation is demonstrated through graphic representations.