Author(s)

Abdollah Borhanifar, Reza Abazari

Department of Mathematics, Islamic Azad University, Ardabil Branch, Ardabil, Iran.
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.

In this work, the (G^'/G)-expansion method is proposed for constructing more general exact solutions of two general form of Burgers type equation arising in fluid mechanics namely, Burgers-Korteweg-de Vries (Burgers-KdV) and Burger-Fisher equations. Our work is motivated by the fact that the (G^'/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system.

(G^'/G)-Expansion Method; Generalized Burgers-KdV Equation; Generalized Burgers-Fisher Equation; Hyperbolic Function Solutions; Trigonometric Function Solutions

A. Borhanifar and R. Abazari, "General Solution of Two Generalized Form of Burgers Equation by Using the (G^'/G)-Expansion Method," Applied Mathematics, Vol. 3 No. 2, 2012, pp. 158-168. doi: 10.4236/am.2012.32025.