@misc{10498/33315,
year = {2018},
url = {http://hdl.handle.net/10498/33315},
abstract = {In this paper, a generalized variable-coefficientGardner equationwhich involves
a linear damping term and a dissipative term is studied. This equation broadens
out a large number of equations previously considered. The equivalence group is
used to simplify the analysis of the equation. The gauging of arbitrary elements
of the family allows us to perform an exhaustive study of the Lie symmetries
admitted by the family. Finally, by means of the multiplier method, we classify
all low-order conservation laws of the equations that have been obtained by
applying the gauging},
keywords = {conservation laws},
keywords = {equivalence transformations},
keywords = {multipliers method},
keywords = {symmetries},
keywords = {partial differential equations},
title = {On a generalized variable-coefficient Gardner equation with linear damping and dissipative terms},
doi = {10.1002/mma.4732},
author = {Rosa Silva, Rafael de la and Recio Rodríguez, Elena and Garrido Letrán, Tamara María and Bruzón Gallego, María de los Santos},
}