American Institute of Mathematical Sciences

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June  2007, 6(2): 429-440. doi: 10.3934/cpaa.2007.6.429

Approximate solution of the Burgers-Korteweg-de Vries equation

Zhaosheng Feng 1, and  Yu Huang 2,

1. 

Department of Mathematics, University of Texas-Pan American, Edinburg, TX 78541, United States
2. 

Department of Mathematics, Zhongshan University, Guangzhou 510275, China

Received  June 2006 Revised  December 2006 Published  March 2007

In this paper, we discuss the Liouville integrability of the Burgers-Korteweg-de Vries equation under certain parametric condition. An approximate solution is obtained by means of the Adomian decomposition method.
Keywords: integrating factor, decomposition method., approximate solution, Traveling wave, differential operator, Burgers-KdV equation.
Mathematics Subject Classification: Primary: 34C05, 35Q53; Secondary: 34C2.
Citation: Zhaosheng Feng, Yu Huang. Approximate solution of the Burgers-Korteweg-de Vries equation. Communications on Pure & Applied Analysis, 2007, 6 (2) : 429-440. doi: 10.3934/cpaa.2007.6.429
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