In this paper we are solving coupled system of non linear partial differential equations by a new method called Kamal decomposition method (KDM). The new method is coupling of the Kamal transform and the Adomain decomposition method. The generalized solution has been proved .Kamal decomposition method (KDM) is very successful tool for finding the exact solution of linear and non linear partial differential equations. The existence and uniqueness of solution is based on KDM.
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