The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the nonlinear Schrödinger equation.Crown

a b s t r a c tIn this paper, the first integral method is used to construct exact solutions of the modified KdV-KP equation and the Burgers-Kadomtsev-Petviashvili (Burgers-KP) equation. This method can be applied to nonintegrable equations as well as to integrable ones. This method is based on the theory of commutative algebra.Crown

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