Solitary wave solutions of the compound Burgers-Korteweg-de Vries equation Academic Article

abstract

• In this paper, the compound Burgers-Korteweg-de Vries equation is studied by the first integral method, which is based on ring theory in commutative algebra. Several new kink-profile waves and periodic waves are established. The applications of these results to other nonlinear wave equations such as the modified Burgers-KdV equation and the compound KdV equation are discussed. The stability and bifurcations of the kink-profile waves are also indicated. 2005 Elsevier B.V. All rights reserved.

authors

• Chen, Goong

published proceedings

• PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

author list (cited authors)

• Feng, Z. S., & Chen, G.

citation count

• 25

complete list of authors

• Feng, ZS||Chen, G

publication date

• July 2005

publisher

• Elsevier  Publisher

published in

• Physica A: Statistical Mechanics and its Applications  Journal

keywords

• Compound Burgers-kdv Equation
• First Integral
• Solitary Wave
• Traveling Wave

Digital Object Identifier (DOI)

• 10.1016/j.physa.2004.12.061

start page

• 419

end page

• 435

volume

• 352

issue

• 2-4

URL

• http://dx.doi.org/10.1016/j.physa.2004.12.061