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.