Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations

摘要

We consider a generalized Benjamin-Bona-Mahony-Burgers equation. The functional forms, for which the equation can be reduced to ordinary differential equations by classical Lie symmetries, are given. By using the G′ over G-expansion method travelling wave solutions are obtained. The subclass of equations which are self-adjoint are determined. By using a general theorem on conservation laws proved by Ibragimov conservation laws for this equation are presented.