Article citationsMore>>

A. Veksler and Y. Zarmi, “Freedom in the Expansion and Obstacles to Integrability in Multiple-Soliton Solutions of the Perturbed KdV Equation,” Physica D: Nonlinear Phenomena, Vol. 217, No. 1, 2006, pp. 77-87. doi:10.1016/j.physd.2006.03.011

has been cited by the following article:

• TITLE: General Solution of Two Generalized Form of Burgers Equation by Using the (G'/G)-Expansion Method

  AUTHORS: Abdollah Borhanifar, Reza Abazari

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

  JOURNAL NAME: Applied Mathematics, Vol.3 No.2, February 23, 2012

  ABSTRACT: 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.