Abstract
In this paper, the nonlinear space-time conformable fractional partial differential equations are transformed into Schrodinger equations based on the solitary wave variable and Malfliet method. This method is used to construct several classes of the multisoliton wave, multi triangular type, and multi Jacobi elliptic doubly periodic type solutions of the space-time conformable fractional Korteweg-de Vries, regularized long wave equation, and Boussinesq equations.