Symmetry reductions and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power

被引：6
|
作者：
Xian Da-Quan [1 ]
Chen Han-Lin [1 ]
机构：
[1] SW Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期
关键词：
PKPp equation; Lie group method; Symmetry reduced; Homoclinic test technique; Auxiliary equation; Exact non-traveling wave solution; SOLITON-SOLUTIONS; KINKS;
D O I：
10.1016/j.amc.2009.12.066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
With the aid of Maple symbolic computation and Lie group method, PKPp equation is reduced to some (1+1)-dimensional partial differential equations, in which there are linear PDE with constant coefficients, nonlinear PDE with constant coefficients, and nonlinear PDE with variable coefficients. Using the separation of variables, homoclinic test technique and auxiliary equation methods, we obtain new abundant exact non-traveling solutions with arbitrary functions for the PKPp. (C) 2010 Elsevier Inc. All rights reserved.
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页码：70 / 79
页数：10
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