Title :
Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations
Author :
Bruzón, M.S. ; Gandarias, M.L.
Author_Institution :
Dept. of Math., Univ. of Cadiz, Cadiz, Spain
Abstract :
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.
Keywords :
Lie groups; conservation laws; nonlinear differential equations; partial differential equations; symmetry; wave equations; Ibragimov conservation laws; classical Lie symmetries; expansion method; functional forms; general theorem; generalized Benjamin-Bona-Mahony-Burgers equation family; ordinary differential equations; self-adjoint equation subclass; travelling wave solutions; Generators; Gold; Mathematical model; Partial differential equations; Polynomials; Partial differential equation; Symmetries; conservation laws; self-adjointness; travelling waves solutions;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304747
