Analytical Approach to Fractional Zakharov-Kuznetsov Equations by He's Homotopy Perturbation Method

被引：43

作者：

Yildirim, Ahmet ^{[1
]}

Gulkanat, Yagmur ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Bornova, Turkey

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 06期

关键词：

homotopy perturbation method; fractional Zakharov-Kuznetsov equations; fractional calculus; Caputo sense; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; ASYMPTOTIC METHODS; DERIVATIVES; STABILITY; ORDER;

D O I：

10.1088/0253-6102/53/6/02

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is to obtain the approximate analytical solution of a fractional Zakharov-Kuznetsov equation by using homotopy perturbation method (HPM). The fractional derivatives are described in the Caputosense. Several examples are given and the results are compared to exact solutions. The results reveal that the method is very effective and simple.

引用

页码：1005 / 1010

页数：6

共 44 条

[1] [Anonymous], 1999, FRACTIONAL DIFFERENT
[2] Numerical solution for special non-linear Fredholm integral equation by HPM
Biazar, J.
Ghazvini, H.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 681 - 687
[3] Exact solutions for non-linear Schrodinger equations by He's homotopy perturbation method
Biazar, J.
Ghazvini, H.
[J]. PHYSICS LETTERS A, 2007, 366 (1-2) : 79 - 84
[4] Application of the homotopy perturbation method to Zakharov-Kuznetsov equations
Biazar, J.
Badpeima, F.
Azimi, F.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2391 - 2394
[5] BIAZAR J, CHAOS SOLIT IN PRESS
[6] Homotopy-perturbation method for pure nonlinear differential equation
Cveticanin, L.
[J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (05) : 1221 - 1230
[7] Das S, 2008, INT J NONLIN SCI NUM, V9, P361
[8] Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method
Dehghan, M.
Shakeri, F.
[J]. PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2008, 78 : 361 - 376
[9] Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
Dehghan, Mehdi
Shakeri, Fatemeh
[J]. PHYSICA SCRIPTA, 2007, 75 (06) : 778 - 787
[10] Ganji ZZ, 2008, TOPOL METHOD NONL AN, V31, P341

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