Nonlocal trends in the geometry of differential equations: Symmetries,conservation laws,and Bäcklund transformations |
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| Authors: | I S Krasil'shchik A M Vinogradov |
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| Institution: | (1) All-Union Institute for Scientific and Technical Information, Moscow, USSR;(2) Moscow State University, Moscow, USSR |
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| Abstract: | The theory of coverings over differential equations is exposed which is an adequate language for describing various nonlocal phenomena: nonlocal symmetries and conservation laws, Bäcklund transformations, prolongation structures, etc. A notion of a nonlocal cobweb is introduced which seems quite useful for dealing with nonlocal objects. |
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| Keywords: | 35A30 58G05 58G35 58H05 |
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