Group analysis of Benjamin-Bona-Mahony equations with time dependent coefficients
arXiv:1506.08137 · doi:10.1088/1742-6596/621/1/012016
Abstract
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.
12 pages; in the Proceedings of the Seventh Workshop "Group Analysis of Differential Equations and Integrable Systems" (June 15-19, 2014, Larnaca, Cyprus)
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- Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source
- Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping
- Group classification of variable coefficient generalized Kawahara equations