%0 Journal Article 
%A Recio Rodríguez, Elena
%A Garrido Letrán, Tamara María
%A Rosa Silva, Rafael de la
%A Bruzón Gallego, María de los Santos
%T Conservation laws and Lie symmetries of a (2+1)- dimensional thin film equation
%D 2019
%@ 0259-9791
%U http://hdl.handle.net/10498/33318
%X This paper considers a generalized thin film equation in two spatial dimensions
depending on three arbitrary functions. This equation describes the time evolution
of a Newtonian liquid that is considerably thinner in one direction than in the other
directions. We include a classification of point symmetries and the corresponding
transformation groups. We derive all low-order local conservation laws of the equation
in terms of the arbitrary functions. In addition, we discuss the physical meaning
of the conserved quantities and provide a useful conservation identity
%K Thin film equation
%K Lie symmetries
%K Conservation laws
%K Conservation identity
%~ Universidad de Cádiz