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Indexed by:会议论文

Date of Publication:2013-08-12

Included Journals:EI、CPCI-S、Scopus

Page Number:211-215

Key Words:Symmetry reduction; Kadomtsev-Petviashvili (KP) equation; Lie group method; Explicit solution

Abstract:With the aid of symbolic computation, we use the Lie group method to find the Lie point symmetries of (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation, and reduce the equation with the obtained symmetries. As a result, many kinds of new symmetry reductions have been presented, including the (2+1)-dimensional KP type equation. And some explicit solutions are given due to the Riccati equation method.