The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
Analysis of PDEs
2024-07-15 v1 Classical Analysis and ODEs
Abstract
In 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.
Cite
@article{arxiv.2407.09063,
title = {The natural extension to PDEs of Lie's reduction of order algorithm for ODEs},
author = {George W. Bluman and Rafael de la Rosa},
journal= {arXiv preprint arXiv:2407.09063},
year = {2024}
}