RT journal article
T1 The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
A1 Bluman, George W.
A1 Rosa Silva, Rafael de la
A2 Matemáticas
K1 Lie's reduction of order algorithm
K1 Nonlocal symmetries
K1 Nonlocally related systems
K1 Symmetry-based method
AB n this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension of Lie's reduction of order algorithm for ordinary differential equations by looking at this algorithm from a different point of view. Many examples exhibit various situations that can arise.
PB Elsevier B.V.
SN 1007-5704
YR 2025
FD 2025
LK http://hdl.handle.net/10498/35481
UL http://hdl.handle.net/10498/35481
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026