%0 Journal Article 
%A Bruzón Gallego, María de los Santos
%A Gandarias Núñez, María Luz
%A Camacho Moreno, José Carlos
%T Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations
%D 2008
%@ 1402-9251

%U http://hdl.handle.net/10498/16027
%X In this paper, the family of BBM equation with strong
nonlinear dispersive is considered. We apply the
classical Lie method of infinitesimals. The symmetry reductions
are derived from the optimal system of subalgebras and lead to
systems of ordinary differential equations. We obtain for special
values of the parameters of this equation, many exact solutions
expressed by various single and combined nondegenerative Jacobi
elliptic function solutions and their degenerative solutions
(soliton, kink and compactons).
%K symmetry analysis BBM equations
%~ Universidad de Cádiz