Abstract
Essentially, this article aims to implement the Riccati-Bernoulli Sub-ODE approach on four applications played a significant role in mathematical physics. This method is utilized to determine new traveling wave solutions for the thin film equation, the dispersive long wave equation (DLWE), the modified KdV-KP equation and the nonlinear ZK-MEW equation. The exact traveling wave solutions for the considered equations are obtained by utilizing this method and expressed in terms of trigonometric functions, hyperbolic functions and rational functions. We also compare the obtained results with some results obtained by using the first integral method. 2D and 3D figures are illustrated under an appropriate selection of parameters. The applied technique is suitable to be used in gaining new exact solutions for most nonlinear partial differential equations appeared in natural phenomena.