@misc{10498/35481,
year = {2025},
url = {http://hdl.handle.net/10498/35481},
abstract = {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.},
publisher = {Elsevier B.V.},
keywords = {Lie's reduction of order algorithm},
keywords = {Nonlocal symmetries},
keywords = {Nonlocally related systems},
keywords = {Symmetry-based method},
title = {The natural extension to PDEs of Lie's reduction of order algorithm for ODEs},
doi = {10.1016/J.CNSNS.2024.108438},
author = {Bluman, George W. and Rosa Silva, Rafael de la},
}