Abstract
For a systemY of partial differential equations, the notion of a coveringŶ ∞→Y ∞ is introduced whereY ∞ is infinite prolongation ofY. Then nonlocal symmetries ofY are defined as transformations ofŶ ∞ which conserve the underlying contact structure. It turns out that generating functions of nonlocal symmetries are integro-differential-type operators.
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Krasilshchik, I.S., Vinogradov, A.M. Nonlocal symmetries and the theory of coverings: An addendum to A. M. vinogradov's ‘local symmetries and conservation laws”. Acta Appl Math 2, 79–96 (1984). https://doi.org/10.1007/BF01405492
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DOI: https://doi.org/10.1007/BF01405492