Symmetries analysis of a mathematic model with a MACSYMA program
SEPADS'10 Proceedings of the 9th WSEAS international conference on Software engineering, parallel and distributed systems
Travelling wave solutions for a generalized Boussinesq equation by using free software
SEPADS'10 Proceedings of the 9th WSEAS international conference on Software engineering, parallel and distributed systems
Exact solutions through symmetry reductions for a new integrable equation
WSEAS Transactions on Mathematics
Classical potential symmetries of the K(m, n) equation with generalized evolution term
WSEAS Transactions on Mathematics
Classification of potential symmetries of the K(m, n) equation with generalized evolution term
AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
Symmetry reductions and travelling wave solutions for a new integrable equation
AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
SEPADS'11 Proceedings of the 10th WSEAS international conference on Software engineering, parallel and distributed systems
Self-adjointness and conservation laws for a new integrable
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
Self-adjointness and conservation laws for a Benjamin-Bona-Mahony equation
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
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In this paper we make a full analysis of the symmetry reductions of a generalized Benjamin-Bona-Mahony- Burgers equation (BBMB) by using the classical Lie method of infinitesimals. The functional forms, for which the BBMB equation can be reduced to ordinary differential equations by classical Lie symmetries, are obtained. We have used the symmetry reductions as a basis for deriving new exact solutions that are invariant with respect to the symmetries. The exact solutions include compactons, solitons, kinks and antikinks.