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arXiv · 0811.1105

On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations

Norbert Euler·Marianna Euler
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Abstract

We discuss nonlocal symmetries and nonlocal conservation laws that follow from the systematic potentialisation of evolution equations. Those are the Lie point symmetries of the auxiliary systems, also known as potential symmetries. We define higher-degree potential symmetries which then lead to nonlocal conservation laws and nonlocal transformations for the equations. We demonstrate our approach by the Burgers' hierarchy and the Calogero-Degasperis-Ibragimov-Shabat hierarchy.

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Norbert Euler, Marianna Euler. 2008-11-07. On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations. https://doi.org/10.1142/s1402925109000509

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