M. Hosseini, H. Abdollahzadeh, M.Abdollahzadeh/ TJMCS Vol .2 No.2 (2011) 376-387 376 Available online at http://www.TJMCS.com The Journal of Mathematics and Computer Science Vol .2 No.2 (2011) 376-387 Exact travelling solutions for the sixth-order Boussinesq equation M. Hosseini 1  , H. Abdollahzadeh 2 , M.Abdollahzadeh 3 1 Department of Mechanical Engineering, Islamic Azad University, Ghaemshahr, Iran. 2 University of Kurdistan, Department of Industrial Engineering, Sanandaj, Iran. 3 Babol University of Technology, Department of Mechanical Engineering P. O. Box: 484, Babol, Iran Received: September 2010, Revised: November 2010 Online Publication: January 2011 Abstract In this paper, we establish some distinct exact solutions for a nonlinear evolution equation. The sin-cosine method and the rational Exp-Function and the rational hyperbolic function method are used to construct the solitary travelling wave solutions of the sixth-order Boussinesq equation . These solutions may be important of significance for the explanation of some practical physical problem. Keywords: Traveling wave solutions; sin-cosine method; Exponential rational function method; the rational hyperbolic functions methods, the sixth-order Boussinesq equation 1- Introduction Nonlinear evolution equations are widely used as models to describe complex physical phenomena and have a significant role in several scientific and engineering fields. These equations appear in solid state physics [1], fluid mechanics [2], chemical kinetics [3], plasma physics [4], population models, nonlinear optics, propagation of fluxons in Josephson junctions and etc... Analytical exact solutions to nonlinear partial  Corresponding author: E–mail:Amirhossini_54@yahoo.com The Journal of Mathematics and Computer Science