The Influence of White Noise and the Beta Derivative on the Solutions of the BBM Equation
The Influence of White Noise and the Beta Derivative on the Solutions of the BBM Equation
In the current study, we investigate the stochastic Benjamin–Bona–Mahony equation with beta derivative (SBBME-BD). The considered stochastic term is the multiplicative noise in the Itô sense. By combining the F-expansion approach with two separate equations, such as the Riccati and elliptic equations, new hyperbolic, trigonometric, rational, and Jacobi elliptic solutions …