Release Time:2019-03-11  Hits:

Indexed by: Conference Paper

Date of Publication: 2013-08-12

Included Journals: Scopus、CPCI-S、EI

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.