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Source generation procedure is applied to reconstruct a new type of KP equation with self-consistent sources (KPESCS).Soliton solutions of this kind of systems include some arbitrary function of two independent variables, and this point is different from the ordinary SESCSs which soliton solutions contains arbitrary functions with respect to only one independent variable.More importantly, this SESCSs have a characteristic that it can reduce to two different simple SESCS, and it can be viewed as some kind of combination of two SESCSs.So we call this kind of SESCS a hybrid type of SESCS.