الملخص

This research is a ‎combination of the homotopy ‎perturbation method with ‎Elzaki transform method ‎and Elzaki inverse to ‎solve some nonlinear ‎partial differential ‎equations. Where the method Elzaki ‎transform is not able to ‎deal with nonlinear ‎equations and find a solution by applying ‎the homotopy perturbation ‎method to solve nonlinear ‎differential equations ‎problems. The method ‎used has proven to be an ‎effective and easy way to ‎solve the nonlinear from kind ‎Newell-Whitehead-Segel ‎partial differential ‎equations, which are ‎classified and belong to ‎the category of ‎homogeneous partial ‎differential equations of ‎the second degree‎. The Elzaki transform method and Homotopy pertubation were shown to be very potent and successful integral transform methods for solving some non-linear equations when this method was compared to other well-known methods for handling the problems under consideration.