Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 498249, 10 pages
Research Article

Exact Solutions for the Generalized BBM Equation with Variable Coefficients

1Department of Mathematics, Universidad Nacional de Colombia, Bogotá, Colombia
2Department of Mathematics and Statistics, Universidad Nacional de Colombia, Manizales, Cll 45, Cra 30, Colombia
3Department of Mathematics, Universidad de Caldas, Manizales, Colombia

Received 23 November 2009; Accepted 21 January 2010

Academic Editor: Jihuan He

Copyright © 2010 Cesar A. Gómez and Alvaro H. Salas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The variational iteration algorithm combined with the exp-function method is suggested to solve the generalized Benjamin-Bona-Mahony equation (BBM) with variable coefficients. Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.