FIZIKA A 16 (2007) 3 , 129-136

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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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