Advances in solving conformable nonlinear partial differential equations and new exact wave solutions for Oskolkov‐type equations

Abstract

This paper introduces advances in solving space‐time conformable nonlinear partial differential equations (PDEs) and exact wave solutions for Oskolkov equations. To arrive at these advances, nonlinear PDEs with space and time conformable partial derivatives are reduced to differential equations with conformable derivatives by using new modifications of the exponential rational function method (ERFM). These modifications are efficious approaches for obtaining exact analytical solutions. An important result of this work is that it yields new exact wave solutions for space‐time conformable pseudo‐parabolic type equations. The graphical representations of the obtained solutions are shown to confirm the accuracy and efficiency of the suggested method.