Exact solutions for nonlinear evolution equations using Exp-function method

被引：126

作者：

Bekir, Ahmet ^{[1
]}

Boz, Ahmet ^{[1
]}

机构：

[1] Dumlupinar Univ, Art Sci Fac, Dept Math, Kutahya, Turkey

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 10期

关键词：

Exp-function method; Klein-Gordon equation; Burger-Fisher equation; Sharma-Tasso-Olver equation;

D O I：

10.1016/j.physleta.2007.10.018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, the Exp-function method is used to construct solitary and soliton solutions of nonlinear evolution equations. The Klein-Gordon, Burger-Fisher and Sharma-Tasso-Olver equations are chosen to illustrate the effectiveness of the method. The method is straightforward and concise, and its applications are promising. The Exp-function method presents a wider applicability for handling nonlinear wave equations. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1619 / 1625

页数：7

共 50 条

[1] Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method
Bekir, Ahmet
Aksoy, Esin
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 430 - 436
[2] Exact Solutions for Nonlinear Wave Equations by the Exp-Function Method
Hu, Mingsheng
Jia, Zhijuan
Chen, Qiaoling
Jia, Suiming
ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] New periodic solutions for nonlinear evolution equations using Exp-function method
He, Ji-Huan
Abdou, M. A.
CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1421 - 1429
[4] Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method
Wen, Yi-Xin
Zhou, Xin-Wei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2464 - 2467
[5] Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
Ebaid, A.
PHYSICS LETTERS A, 2007, 365 (03) : 213 - 219
[6] Exact solutions for a class of nonlinear partial differential equations using exp-function method
Bekir, Ahmet
Boz, Ahmet
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (04) : 505 - 512
[7] Exp-function method for traveling wave solutions of nonlinear evolution equations
Noor, Muhammad Aslam
Mohyud-Din, Syed Tauseef
Waheed, Asif
Al-Said, Eisa A.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 477 - 483
[8] Exact Solutions for Nonlinear Partial Differential Equations via Exp-Function Method
Aminikhah, Hossein
Moosaei, Hossein
Hajipour, Mojtaba
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (06) : 1427 - 1433
[9] Multiple exp-function method for soliton solutions of nonlinear evolution equations
Yakup Y?ld?r?m
Emrullah Yasar
Chinese Physics B, 2017, 26 (07) : 24 - 30
[10] Multiple exp-function method for soliton solutions of nonlinear evolution equations
Yildirim, Yakup
Yasar, Emrullah
CHINESE PHYSICS B, 2017, 26 (07)

← 1 2 3 4 5 →