Applied Mathematics, 2014, 5, 1212-1217 Published Online May 2014 in SciRes. http://www.scirp.org/journal/am http://dx.doi.org/10.4236/am.2014.58112 How to cite this paper: Moradi, E., et al. (2014) The Exp-Function Method for Solving Two Dimensional Sine-Bratu Type Equations. Applied Mathematics, 5, 1212-1217. http://dx.doi.org/10.4236/am.2014.58112 The Exp-Function Method for Solving Two Dimensional Sine-Bratu Type Equations Eslam Moradi 1 , Hamidreza Varasteh 2 , Abolfazl Abdollahzadeh 3 , Mojtaba Mostafaei-Malekshah 1 1 Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran 2 Department of Mathematics, Payamenoor University, Tehran, Iran 3 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Birjand University, Birjand, Iran Email: eslam.moradi@gmail.com , varastehhamid@gmail.com , aboalfazl.zadeh@yahoo.com , m.mostafaei.m@gmail.com Received 15 January 2014; revised 25 February 2014; accepted 4 March 2014 Copyright © 2014 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract In this paper, we apply Exp-function method to give traveling wave solutions of second order sine- Bratu type equations. This method is straightforward, concise and effective. Keywords Exp-Function Method, Sine-Bratu Type Equation 1. Introduction Nonlinear differential equations have an important role in the study of nonlinear physical phenomena in science and technology. This paper investigates the exact solutions of nonlinear second order sine-Bratu type equations using the Exp-function method. Recently, several direct methods such as ( ) GG ′ -expansion method [1]-[3], sine-cosine method [4] [5], tanh-coth method [6] [7], He’s homotopy perturbation method [8] [9], F-expansion method [10] [11] and others have been proposed to obtain exact solutions of nonlinear partial differential equa- tions. Using these methods many exact solutions, including the solitary wave solutions, shock wave solutions and periodic wave solutions are obtained for some kinds of nonlinear evolution equations. The application of Exp-function method to obtain more explicit traveling wave solutions to many nonlinear differential equations has been developed by many researchers [12]-[15]. The Exp-function method is based on the assumption that the travelling wave solutions can be expressed by a polynomial in Exp-function. It has been shown that this me- thod is direct, concise, basic and effective. The solution procedure of this method, by the help of Maple, Matlab, or any mathematical package, is of utter simplicity.