Finding general and explicit solutions (2+1) dimensional Broer-Kaup-Kupershmidt system nonlinear equation by exp-function method

被引：14

作者：

Davodi, Amin G. ^{[2
]}

Ganji, D. D. ^{[1
]}

Davodi, Arash G. ^{[3
]}

Asgari, A. ^{[4
]}

机构：

[1] Babol Univ Technol, Dept Mech & Civil Engn, Babol Sar, Iran

[2] Shahrood Univ Technol, Dept Civil Engn, Shahrood, Iran

[3] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran

[4] Bahonar Univ, Dept Civil Engn, Kerman, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 04期

关键词：

Exp-function method; (2+1) Dimensional Broer-Kaup-Kupershmidt equation; Nonlinear equation; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD;

D O I：

10.1016/j.amc.2009.05.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we implement a relatively new analytical technique, the exp-function method, for solving nonlinear special form of generalized nonlinear (2 + 1) dimensional Broer-Kaup-Kupershmidt equation, which may contain high nonlinear terms. This method can be used as an alternative to obtain analytic and approximate solutions of different types of fractional differential equations which applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and reliability of exp method. It is predicted that exp-function method can be found widely applicable in engineering. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1415 / 1420

页数：6

共 16 条

[1] Modified extended tanh-function method and its application on nonlinear physical equations [J].

Abdou, M. A. ;

Soliman, A. A. .

PHYSICS LETTERS A, 2006, 353 (06) :487-492

[2] A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS [J].

ADOMIAN, G .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 135 (02) :501-544

[3]

[Anonymous], 2020, Introduction to Partial Differential Equations

[4]

Burden R.L., 1980, Numerical analysis

[5] Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation [J].

Domairry, G. ;

Nadim, N. .

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2008, 35 (01) :93-102

[6] Solutions for the Double Sine-Gordon Equation by Exp-Function, Tanh, and Extended Tanh Methods [J].

Domairry, G. ;

Davodi, Amin G. ;

Davodi, Arash G. .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :384-398

[7] The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer [J].

Ganji, D. D. .

PHYSICS LETTERS A, 2006, 355 (4-5) :337-341

[8] METHOD FOR SOLVING KORTEWEG-DEVRIES EQUATION [J].

GARDNER, CS ;

GREENE, JM ;

KRUSKAL, MD ;

MIURA, RM .

PHYSICAL REVIEW LETTERS, 1967, 19 (19) :1095-&

[9] Variational iteration method for autonomous ordinary differential systems [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123

[10] Homotopy perturbation technique [J].

He, JH .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262

← 1 2 →