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FIZIKA A 16 (2007) 3 , 129-136
 
A DIRECT APPROACH FOR SOLVING THE 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 26 June 2007; Accepted 5 December 2007
Online 8 February 2008
By utilizing the transformation given in our article Fizika A 14
(2005) 233 and introducing an intermediate function f(y), a direct approach is
presented to solve the Burgers equation which does not require introducing the
trial function. Based on it, abundant types of explicit exact solutions of the
Burgers equation, including the solitary wave solutions, the singular traveling
wave solutions, the triangle function periodic wave solutions, the rational
solution etc., are successfully derived.
PACS numbers: 02.30.Jr, 03.65.Ge
UDC 531.435
Keywords: direct approach, Burgers equation, explicit exact solution
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