New periodic and soliton solutions by application of Exp-function method for nonlinear evolution equations

被引：38

作者：

Borhanifar, A. ^{[1
]}

Kabir, M. M. ^{[2
]}

机构：

[1] Univ Mohoghegh Ardabili, Dept Math, Ardebil, Iran

[2] Univ Mohoghegh Ardabili, Dept Mech Engn, Ardebil, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 229卷 / 01期

关键词：

Exp-function method; Kaup-Kupershmidt equation; (2+1)-dimensional Potential Kadomtsev-Petviashvili (PKP) equation; Traveling wave solution; Periodic solutions; Soliton; HOMOTOPY PERTURBATION METHOD; KADOMTSEV-PETVIASHVILI EQUATION; 5TH-ORDER KDV EQUATIONS; WAVE-EQUATIONS; LATTICE; SYSTEM;

D O I：

10.1016/j.cam.2008.10.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this letter,the Kaup-Kupershmidt, (2+1)-dimensional Potential Kadomtsev-Petviashvili (shortly PKP) equations are presented and the Exp-function method is employed to compute an approximation to the solution of nonlinear differential equations governing the problem. It has been attempted to show the capabilities and wide-range applications of the Exp-function method. This method can be used as an alternative to obtain analytic and approximate solution of different types of differential equations applied in engineering mathematics. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：158 / 167

页数：10

共 24 条

[1] Burden R.L., 1980, Numerical analysis
[2] CHUN CB, PHYS LETT A IN PRESS
[3] Variational iteration method for autonomous ordinary differential systems
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) : 115 - 123
[4] Comparison of homotopy perturbation method and homotopy analysis method
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) : 527 - 539
[5] Asymptotology by homotopy perturbation method
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) : 591 - 596
[6] Application of homotopy perturbation method to nonlinear wave equations
He, JH
[J]. CHAOS SOLITONS & FRACTALS, 2005, 26 (03) : 695 - 700
[7] A coupling method of a homotopy technique and a perturbation technique for non-linear problems
He, JH
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) : 37 - 43
[8] HE JH, 2007, PHYS LETT A IN PRESS
[9] New periodic solutions for nonlinear evolution equations using Exp-function method
He, Ji-Huan
Abdou, M. A.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1421 - 1429
[10] Exp-function method for nonlinear wave equations
He, Ji-Huan
Wu, Xu-Hong
[J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (03) : 700 - 708

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