The Exp-function approach to the Schwarzian Korteweg-de Vries equation

被引：21

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 08期

关键词：

Exp-function method; Schwarzian Korteweg-de Vries equation; Traveling wave solutions; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.camwa.2010.02.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the Exp-function method and its generalization, we report further exact traveling wave solutions, in a concise form, to the Schwarzian Korteweg-de Vries equation which admits physical significance in applications. Not only solitary and periodic waves but also rational solutions are observed. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2896 / 2900

页数：5

共 24 条

[1] Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering
[2] Generalized solitary and periodic wave solutions to a (2+1)-dimensional Zakharov-Kuznetsov equation
Aslan, Ismail
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (04) : 1421 - 1429
[3] Application of He's Exp-function Method to the Stochastic mKdV Equation
Dai, Chao-Qing
Zhang, Jie-Fang
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (05) : 675 - 680
[4] Dai ZD., 2010, Nonlinear Sci. Lett. A, V1, P77
[5] The first-integral method to study the Burgers-Korteweg-de Vries equation
Feng, ZS
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (02): : 343 - 349
[6] Fu HM, 2009, INT J NONLIN SCI NUM, V10, P927
[7] He J., 1997, COMMUN NONLINEAR SCI, V2, P230, DOI [DOI 10.1016/S1007-5704(97)90007-1, 10.1016/S1007-5704(97)90007-1]
[8] He J.-H., 2010, Nonlinear Sci. Lett. A, V1, P1
[9] He J.H., 1998, COMMUN NONLINEAR SCI, V32, P92, DOI [DOI 10.1016/S1007-5704(98)90070-3, 10.1016/S1007-5704(98)90070-3]
[10] An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
He, Ji-Huan
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2008, 22 (21): : 3487 - 3578

← 1 2 3 →