Exact solution in terms of elliptic functions for the Burgers-Korteweg-de Vries equation

被引：27

作者：

Feng, ZS ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

WAVE MOTION | 2003年 / 38卷 / 02期

关键词：

solitary wave; exact solution; Burgers-KdV equation; elliptic function;

D O I：

10.1016/S0165-2125(03)00023-4

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The Burgers-Korteweg-de Vries equation arises from many different physical contexts as a nonlinear model equation incorporating the effects of dispersion, dissipation and nonlinearity. In the present paper, we present a more general traveling wave solution to the Burgers-Korteweg-de Vries equation by applying an exact solution of an ordinary differential equation. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：109 / 115

页数：7

共 37 条

[1]

ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380

[2]

Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4

[3]

ABRAMOWITZ M, 1965, HDB MATH FUNTIONS

[4]

[Anonymous], MATH PRACTICE THEORY