On exact special solutions for the stochastic regularized long wave-Burgers equation

Abstract

Abstract In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms, and the modified sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions. This study emphasizes that the modified fractional sub-equation method is sufficient to solve the stochastic nonlinear equations in mathematical physics.

Keywords

• The stochastic RLWBE
• White noise analysis
• Hermite transforms
• The modified sub-equation method