New solitonary solutions for the MBBM equations using Exp-function method

In this Letter we use the Exp-function method for analytic treatment for the modified Benjamin-Bona-Mahony equations. New solitonary solutions are formally derived. The change of the parameters, that will drastically change the characteristics of the equations, is examined. It is shown that the Exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving high-dimensional nonlinear evolutions in mathematical physics. (C) 2007 Elsevier B.V. All rights reserved.