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The natural extension to PDEs of Lie's reduction of order algorithm for ODEs (2407.09063v1)
Published 12 Jul 2024 in math.AP and math.CA
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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