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

fYear

2012

fDate

6-11 Aug. 2012

Firstpage

155

Lastpage

160

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/NSC.2012.6304747

Filename

6304747