Decomposition of the generalized KP, cKP and mKP and their exact solutions

Abstract The generalized ( 2 + 1 ) -dimensional KP, cKP and mKP are decomposed into the known ( 1 + 1 ) -dimensional soliton equations. Then, we show that the ( 1 + 1 ) -dimensional soliton equations give rise to the explicit soliton solutions of the generalized KP, cKP and mKP.

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