%0 Journal Article 
%A Garrido Letrán, Tamara María
%A Rosa Silva, Rafael de la
%A Recio Rodríguez, Elena
%A Bruzón Gallego, María de los Santos
%T Symmetries, solutions and conservation laws for the (2+1) filtration-absorption model
%D 2019
%@ 0259-9791
%U http://hdl.handle.net/10498/33319
%X In this paper we have considered the (2+1) filtration-absorption equation that models
the flowof impurewater in awater-absorbing fissured porous medium.We have applied
the Lie method to get the Lie symmetries classificationwith respect to the parameter of
the equation and we have interpreted them. Additionally, we have obtained solutions
for the travellingwave case. Lastly, all low-order conservation laws have been obtained
by using the direct method of multipliers. Its associated conserved integral is also
interpreted.
%K Filtration-absorption model
%K (2 + 1)-dimensional equation
%K Lie symmetries
%K Travelling wave solutions
%K Conservation laws
%~ Universidad de Cádiz