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Group classification of the general evolution equation: local and quasi-local symmetries

Renat Zhdanov·Victor Lahno
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Abstract

We expand our group classification of quasilinear evolution equations (Acta Appl.Math., v.69, 2001) to the case of general evolution equation in one spatial variable. This enables obtaining several new classes of evolution equations with nontrivial Lie symmetry. As a by-product, we derive a number of nonlinear evolution equations admitting quasilocal symmetries.

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Renat Zhdanov, Victor Lahno. 2005-10-03. Group classification of the general evolution equation: local and quasi-local symmetries. https://arxiv.org/abs/nlin/0510003

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