In this paper, explicit and exact solitary wave solutions to the 2N+1 order KdV-type equations are given. The higher order generalized KdV equation(GKdVE), the higher order generalized MKdV equation (GMKdVE), and the higher order generalized Schamel's MKdV equation(GSMKdVE) are covered by these equations. Moreover, 2N+1 order KP-type equation is discussed.