%0 Journal Article
%A Recio, Elena
%A Garrido, T.M.
%A de la Rosa, Rafael
%A Bruzón Gallego, María de los Santos
%T Hamiltonian Structure, Symmetries and Conservation Laws for a Generalized (2 + 1)-Dimensional Double Dispersion Equation
%D 2019
%@ 2073-8994
%U http://hdl.handle.net/10498/21742
%X This paper considers a generalized double dispersion equation depending on a nonlinear
function f (u) and four arbitrary parameters. This equation describes nonlinear dispersive waves in
2 + 1 dimensions and admits a Lagrangian formulation when it is expressed in terms of a potential
variable. In this case, the associated Hamiltonian structure is obtained. We classify all of the Lie
symmetries (point and contact) and present the corresponding symmetry transformation groups.
Finally, we derive the conservation laws from those symmetries that are variational, and we discuss
the physical meaning of the corresponding conserved quantities.
%K Lie symmetry
%K conservation law
%K double dispersion equation
%K Boussinesq equation
%~ Universidad de Cádiz