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

被引：7

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.

引用

页码：70 / 79

页数：10

共 16 条

[1] New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation [J].

Chen, HT ;

Zhang, HQ .

CHAOS SOLITONS & FRACTALS, 2004, 19 (01) :71-76

[2]

Dai ZD, 2007, CHINESE PHYS LETT, V24, P1429, DOI 10.1088/0256-307X/24/6/001

[3]

DEDAI Z, 2009, CHAOS SOLITON FRACT, V40, P946

[4] EXACT ENVELOPE-SOLITON SOLUTIONS OF A NONLINEAR WAVE-EQUATION [J].

HIROTA, R .

JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) :805-809

[5] Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations [J].

Inan, IE ;

Kaya, D .

PHYSICS LETTERS A, 2006, 355 (4-5) :314-318

[6] New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations [J].

Inc, Mustafa .

CHAOS SOLITONS & FRACTALS, 2007, 33 (04) :1275-1284

[7] Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method [J].

Kaya, D ;

El-Sayed, S .

PHYSICS LETTERS A, 2003, 320 (2-3) :192-199

[8] Symbolic computation and various exact solutions of potential Kadomstev-Petviashvili equation [J].

Li, DS ;

Zhang, HQ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :351-359

[9]

Liu SK., 2000, NONLINEAR EQUATIONS

[10]

Olver P. J., 1986, Applications of Lie Groups to Differential Equations, DOI 10.1007/978-1-4684-0274-2

← 1 2 →