Group analysis of Benjamin - Bona - Mahony equations with time dependent coefficients
Date
2015ISSN
1742-6588Source
7th International Workshop on Group Analysis of Differential Equations and Integrable Systems, GADEIS 2014Volume
621Issue
1Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions are presented: up to point equivalence within the class of BBM equations and without the simplification by equivalence transformations. It is shown that the complete results can be achieved using either the gauging of arbitrary elements of the class by the equivalence transformations or the method of mapping between classes. As by-product of the second approach the complete group classification of a class of variable-coefficient BBM equations with forcing term is derived. © Published under licence by IOP Publishing Ltd.
Collections
Cite as
Related items
Showing items related by title, author, creator and subject.
-
Article
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
Ivanova, Nataliya M.; Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2009)We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
-
Article
Kansa-RBF algorithms for elliptic problems in axisymmetric domains
Karageorghis, Andreas; Chen, C. S.; Liu, X. -Y (2016)We employ a Kansa-radial basis function method for the numerical solution of elliptic boundary value problems in three-dimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...
-
Article
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
Liu, X. -Y; Karageorghis, Andreas; Chen, C. S. (2015)We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...