RT journal article T1 On a generalized variable-coefficient Gardner equation with linear damping and dissipative terms A1 Rosa Silva, Rafael de la A1 Recio Rodríguez, Elena A1 Garrido Letrán, Tamara María A1 Bruzón Gallego, María de los Santos A2 Matemáticas K1 conservation laws K1 equivalence transformations K1 multipliers method K1 symmetries K1 partial differential equations AB In this paper, a generalized variable-coefficientGardner equationwhich involvesa linear damping term and a dissipative term is studied. This equation broadensout a large number of equations previously considered. The equivalence group isused to simplify the analysis of the equation. The gauging of arbitrary elementsof the family allows us to perform an exhaustive study of the Lie symmetriesadmitted by the family. Finally, by means of the multiplier method, we classifyall low-order conservation laws of the equations that have been obtained byapplying the gauging SN 1099-1476 YR 2018 FD 2018 LK http://hdl.handle.net/10498/33315 UL http://hdl.handle.net/10498/33315 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 21-sep-2026