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Partial and complete linearization of PDEs based on conservation laws

Thomas Wolf
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Abstract

A method based on infinite parameter conservation laws is described to factor linear differential operators out of nonlinear partial differential equations (PDEs) or out of differential consequences of nonlinear PDEs. This includes a complete linearization to an equivalent linear PDE (-system) if that is possible. Infinite parameter conservation laws can be computed, for example, with the computer algebra package ConLaw.

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Thomas Wolf. 2005-01-17. Partial and complete linearization of PDEs based on conservation laws. https://arxiv.org/abs/nlin/0501034

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