Article citationsMore>>

Z. Y. Yan, “An Improved Algebra Method and Its Applications in Nonlinear Wave Equations,” Chaos Solitons & Fractals, Vol. 21, No. 4, 2004, pp. 1013-1021. doi:10.1016/j.chaos.2003.12.042

has been cited by the following article:

• TITLE: General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method

  AUTHORS: Abdollah Borhanifar, Reza Abazari

  KEYWORDS: (G, /G)-Expansion Method, Generalized Kadomtsev-Petviashvili (KP) Equation, Hyperbolic Function Solutions, Trigonometric Function Solutions

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.4, December 9, 2011

  ABSTRACT: In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. 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.