A travelling wave solution to the KdV-Burgers equation

被引:36
作者
Demiray, H [1 ]
机构
[1] Isik Univ, Dept Math, Fac Arts & Sci, TR-34398 Istanbul, Turkey
关键词
Korteweg-de Vries-Burgers equation; travelling waves;
D O I
10.1016/S0096-3003(03)00741-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdV-Burgers (KdVB) equation is presented. It is observed that both methods lead to the same type of solution. The solution method we introduced here is less restrictive and comprises some solutions existing in the current literature [Wave Motion 11 (1989) 559; Wave Motion 14 (1991) 559]. (C) 2003 Published by Elsevier Inc.
引用
收藏
页码:665 / 670
页数:6
相关论文
共 8 条
[1]   TRAVELING-WAVE SOLUTIONS TO THE KORTEWEG-DEVRIES-BURGERS EQUATION [J].
BONA, JL ;
SCHONBEK, ME .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 101 :207-226
[2]   Nonlinear waves in a thick-wallets viscoelastic tube filled with an inviscid fluid [J].
Demiray, H .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1998, 36 (03) :345-357
[3]   Nonlinear waves in an inviscid fluid contained in a prestressed viscoelastic thin tube [J].
Demiray, H ;
Antar, N .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1997, 48 (02) :325-340
[4]   EXACT-SOLUTIONS TO THE KORTEWEG-DEVRIES-BURGERS EQUATION [J].
JEFFREY, A ;
XU, SQ .
WAVE MOTION, 1989, 11 (06) :559-564
[5]   EXACT-SOLUTIONS TO THE KDV-BURGERS EQUATION [J].
JEFFREY, A ;
MOHAMAD, MNB .
WAVE MOTION, 1991, 14 (04) :369-375
[6]   WEAK NONLINEAR DISPERSIVE WAVES - DISCUSSION CENTERED AROUND KORTEWEG-DE VRIES EQUATION [J].
JEFFREY, A ;
KAKUTANI, T .
SIAM REVIEW, 1972, 14 (04) :582-+
[7]   A NON-LINEAR EQUATION INCORPORATING DAMPING AND DISPERSION [J].
JOHNSON, RS .
JOURNAL OF FLUID MECHANICS, 1970, 42 :49-&
[8]   The theory of nonlinear ion-acoustic waves revisited [J].
Malfliet, W ;
Wieers, E .
JOURNAL OF PLASMA PHYSICS, 1996, 56 :441-450