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arXiv · 2407.09063

The natural extension to PDEs of Lie's reduction of order algorithm for ODEs

George W. Bluman·Rafael de la Rosa
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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.

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George W. Bluman, Rafael de la Rosa. 2024-07-12. The natural extension to PDEs of Lie's reduction of order algorithm for ODEs. https://arxiv.org/abs/2407.09063

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