The Korteweg-de Vries-Burgers equation and its approximate solution

Authors:
Xiaohui Wang;Zhaosheng Feng;Lokenath Debnath;David Y. Gao
Affiliations:
Department of Mathematics, University of Texas-Pan American, Edinburg, TX, USA;Department of Mathematics, University of Texas-Pan American, Edinburg, TX, USA;Department of Mathematics, University of Texas-Pan American, Edinburg, TX, USA;Department of Mathematics, Virginia Tech. University, Blacksburg, VA, USA
Venue:
International Journal of Computer Mathematics - Computer Mathematics in Dynamics and Control
Year:
2008

Citing 2
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Abstract

In this paper, we study the Korteweg-de Vries-Burgers equation with boundary conditions. After making a series of transformations, we convert the Korteweg-de Vries-Burgers equation into an Emden-Fowler equation. An approximate solution in series form is obtained by means of the Adomian decomposition method. The solution is illustrated to agree well with phase plane analysis.