Integrability in differential coverings

preprint2013arXivOpen access

Let $τ\colon\tilde{\mathcal{E}}\to\mathcal{E}$ be a differential covering of a PDE $\tilde{\mathcal{E}}$ over $\mathcal{E}$ . We prove that if $\mathcal{E}$ possesses infinite number of symmetries and/or conservation laws then $\tilde{\mathcal{E}}$ has similar properties.

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Integrability in differential coverings

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