Abstract
The electrons and positrons are assumed to be dynamic, whereas positively charged ions are considered stationary. Using a computerized symbolic computation technique, we obtianed several solutions of the Zakharov-Kuznetsov equation which describes the propagation of the electrostatic excitations in the electron-positron-ion plasmas. These solutions contain hyperbolic, triangular solutions. These solutions extended to ion-acoustic waves in quantum dusty plasmas consisting of electrons, ions, and negatively/positively charged dust particles. In addition, as an illustrative sample, the properties of the solutions of this equation are shown with some figures. [Bhrawy AH, Alofi AS, Abdelkawy AM. Time-dependent two-dimensional Zakharov-Kuznetsov equation in the electron-positron-ion plasmas. Life Sci J 2012;9(4):1804-1813] (ISSN:1097-8135). http://www.lifesciencesite.com. 274