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

Abstract

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 $\exp (-\phi (\mu \left)\right)$-expansion method. In addition, we demonstrate the effect of multiplicative noise on the exact solutions of the Burgers' equation by introducing some graphic representations.

Keywords:

• Solitary wave solutions
• stochastic Burgers' equation
• multiplicative noise
• $\exp (-\phi )$-expansion method

AMS subject classifications::

• 60H15
• 60H10
• 35A20
• 83C15
• 35Q51

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research has been funded by Scientific Research Deanship at University of Ha'il – Saudi Arabia through project number RG-20006.