Abstract
Some (2+1)-dimensional nonlinear evolution equations, including the Kadomtsev-Petviashvili II (KPII) equation and the modified Kadomtsev-Petviashvili (KP) equation, are decomposed into two (1+1)-dimensional soliton systems in the coupled KdV hierarchy. With the help of the decomposition and the Darboux transformation, some explicit solutions of these (2+1)-dimensional nonlinear evolution equations such as new soliton solutions of the KPII equation and the modified KP equation are obtained.
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