Original scientific paper
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
Abstract
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.
Keywords
direct approach; Burgers equation; explicit exact solution
Hrčak ID:
302512
URI
Publication date:
1.7.2007.
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