Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation

摘要

In this paper, we use the exp-function method to construct some new soliton solutions of the Benjamin-Bona-Mahony and modified Benjamin-Bona-Mahony equations. These equations have important and fundamental applications in mathematical physics and engineering sciences. The exp-function method is used to find the soliton solution of a wide class of nonlinear evolution equations with symbolic computation. This method provides the concise and straightforward solution in a very easier way. The results obtained in this paper can be viewed as a refinement and improvement of the previously known results.