RT journal article T1 Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations A1 Bruzón Gallego, María de los Santos A1 Rosa Silva, Rafael de la A1 Tracinà, Rita A2 Matemáticas K1 Differential invariants K1 Equivalence transformations K1 Exact solutions K1 Partial differential equations AB In this paper, a family of variable-coefficient fifth-order KdV equations has been considered. By using an infinitesimal method based on the determination of the equivalence group, differential invariants and invariant equations are obtained. Invariants provide an alternative way to find equations from the family which may be equivalent to a specific subclass of the same family and the invertible transformation which maps both equivalent equations. Here, differential invariants are applied to obtain exact solutions. PB Elsevier Inc. SN 0096-3003 YR 2018 FD 2018 LK http://hdl.handle.net/10498/30804 UL http://hdl.handle.net/10498/30804 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 21-sep-2026