On a class of nonlinear dispersive-dissipative interactions
Physica D - Special issue on nonlinear waves and solitons in physical systems
Travelling wave solutions for a CBS equation in 2 + 1 dimensions
MATH'08 Proceedings of the American Conference on Applied Mathematics
New solutions for a generalized Benjamin-Bona-Mahony-Burgers equation
MATH'08 Proceedings of the American Conference on Applied Mathematics
New exact solutions for a Benjamin-Bona-Mahony equation
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Similarity solutions for a generalized lubrication equation
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Symmetries and conservation laws for a subclass of lubrication equations by using free software
SEPADS'11 Proceedings of the 10th WSEAS international conference on Software engineering, parallel and distributed systems
Conservation laws for a third order equation by using free software MAXIMA
SEPADS'12/EDUCATION'12 Proceedings of the 11th WSEAS international conference on Software Engineering, Parallel and Distributed Systems, and proceedings of the 9th WSEAS international conference on Engineering Education
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
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In this work we study a new completely integrable equation from the point of view of the theory of symmetry reductions in partial differential equations. This equation has been proposed by Qiao and Liu in [24] and it possesses peak solitons. We obtain the classical symmetries and the classical symmetries of the associated potential system admitted, then, we use the transformations groups to reduce the equations to ordinary differential equations. Physical interpretation of these reductions and some exact solutions are also provided. Among them we obtain a travelling wave with decaying velocity and an smooth soliton solution.