  Evaluation of analytical solutions of non-linear partial differential
equations (both classical and fractional) is a rising subject in Applied
Mathematics because its applications in Physical biological and social
sciences. In this paper we have used generalized Tanh method to find the exact
solution of KP-Burger equation and coupled KdV equation. The fractional
Sub-equation method has been used to find the solution of fractional KP-Burger
equation and fractional coupled KdV equations. The exact solution obtained by
fractional sub-equation method reduces to classical solution when order of
fractional derivative tends to one. Finally numerical simulation has done. The
numerical simulation justifies that the solutions of two fractional
differential equations reduces to shock solution for KP-Burger equation and
soliton solution for coupled KdV equations when order of derivative tends to
one.
