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

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.

关键词： Symmetry reduction Kadomtsev-Petviashvili (KP) equation Lie group method Explicit solution

作者: N.LV J.WANG J.MEI L.WU

作者单位: School of Science, Dalian Nationalities University, Daiian 116600, China School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 211-215

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）