RT journal article T1 On symmetries and conservation laws of a Gardner equation involving arbitrary functions A1 Rosa Silva, Rafael de la A1 Gandarias Núñez, María Luz A1 Bruzón Gallego, María de los Santos A2 Matemáticas K1 Adjoint equation to nonlinear equations K1 Conservation laws K1 Multipliers K1 Partial differential equations K1 Symmetries AB In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws by using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations. PB Elsevier Inc. SN 0096-3003 YR 2016 FD 2016 LK http://hdl.handle.net/10498/30668 UL http://hdl.handle.net/10498/30668 LA eng NO Mathematics Subject Classification: 35C07, 35Q53 DS Repositorio Institucional de la Universidad de Cádiz RD 13-nov-2026