Abstract
Abstract Many types of new exact solutions of (3 + 1)-dimensional KP equation are obtained via an unified Wronskian determinant and three linear partial differential equations, which involve many types of multiple solitary wave solutions, rational solutions, and rational-solitary wave solutions. It is shown that the collisions of the obtained multiple solitary wave solutions are elastic, which implies that (3 + 1)-dimensional KP equation admits multisoliton solutions. Moreover we also give the Wronskian formal solutions of ( n + 1)-dimensional KP equations.
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