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FIZIKA A 19 (2010) 4 , 257-262
 
A COMBINATION METHOD FOR CONSTRUCTING THE EXPLICIT EXACT SOLUTIONS OF THE GENERALIZED BBM-BURGERS EQUATION
YUAN-XI XIE
Department of Physics and Electronic Information, Hunan Institute of Science and Technology,
Yueyang Hunan 414000, P. R. China, E-mail address: xieyuanxi88@163.com
Received 23 February 2009; Revised manuscript received 12 April 2011
Accepted 9 February 2011 Online 2 May 2011
In view of the analysis of characteristics of the generalized
Burgers equation, generalized BBM equation and generalized
BBM-Burgers equation, a combination method is developed to
construct the explicit exact solutions of the generalized
BBM-Burgers equation by combining the solutions of the generalized
Burgers equation and the generalized BBM equation. As a result, many
explicit exact solutions of the generalized BBM-Burgers equation
are successfully derived.
PACS numbers: 02.30.Jr, 03.65.Ge
UDC 532.59
Keywords: combination method, generalized BBM-Burgers equation, explicit exact solution
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