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

被引：0
|
作者：
Lv, N. [1 ]
Wang, J. [1 ]
Mei, J. [2 ]
Wu, L. [2 ]
机构：
[1] Dalian Nationalities Univ, Sch Sci, Dalian 116600, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
SIXTH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (ICNM-VI) | 2013年
关键词：
Symmetry reduction; Kadomtsev-Petviashvili (KP) equation; Lie group method; Explicit solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：211 / 215
页数：5
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