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Symmetry Reductions and Explicit Solutions of (3 + 1)-Dimensional Kadomtsev-Petviashvili (KP) Equation

N. LV, J. WANG, J. MEI, L. WU

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 meth

Keywords


Symmetry reduction; Kadomtsev-Petviashvili (KP) equation; Lie group method; Explicit solutionText

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