By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona- Mahony-Burgers (shortly BBMB) equations in its bilinear form.<\/p>\r\n","references":"[1] M. Mei, Large-time behavior of solution for generalized Benjamin-Bona-\r\nMahony-Burgers equations, Nonlinear Analysis, 33 (1998) 699-714.\r\n[2] K. Al-Khaled, S. Momani, A. Alawneh, Approximate wave solutions\r\nfor generalized Benjamin-Bona-Mahony-Burgers equations, Appl. Math.\r\nComput., 171 (2005) 281-292.\r\n[3] H. Tari, D.D. Ganji, Approximate explicit solutions of nonlinear BBMB\r\nequations by Hes methods and comparison with the exact solution, Phys.\r\nLett. A, 367 (2007) 95-101.\r\n[4] A. Fakhari, Ganji Domairry, Ebrahimpour, Approximate explicit solutions\r\nof nonlinear BBMB equations by homotopy analysis method and comparison\r\nwith the exact solution, Phys. Lett. A, 368 (2007) 64-68.\r\n[5] H. Yin, H.-J. Zhao, J.-S. Kim, Convergence rates of solutions toward\r\nboundary layer solutions for generalized Benjamin-Bona-Mahony-\r\nBurgers equations in the half-space, J. Differential Equations, 245 (2008)\r\n3144-3216.\r\n[6] Z.Z. Ganji, D.D. Ganji, H. Bararnia, Approximate general and explicit\r\nsolutions of nonlinear BBMB equations by Exp-Function method, Appl.\r\nMath.l Modelling, 33 (2009) 1836-1841.\r\n[7] M. Kazeminia, P. Tolou, J. Mahmoudi, I. Khatami, I. Khatami, Solitary\r\nand Periodic Solutions of BBMB Equation via Exp-Function Method,\r\nAdv. Studies Theor. Phys., 3(12) (2009) 461-471.\r\n[8] H. Yin., J. Hu, Exponential decay rate of solutions toward traveling waves\r\nfor the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers\r\nequations, Nonlinear Analysis, 73 (2010) 1729-1738.\r\n[9] Z.-D. Dai, S.-Q. Lin. D.-L. Li, G. Mu, The three-wave method for\r\nnonlinear evalution equations, Nonl. Sci. Lett. A, 1(1) (2010) 77-82.\r\n[10] C.-J. Wang, Z.-D. Dai, L. Liang, Exact three-wave solution for higher\r\ndimensional KDV-type equation, Appl. Math. Comput., 216 (2010) 501-\r\n505.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 37, 2010"}