Nonlocal Trends in the Geometry of Differential Equations: Symmetries, Conservation Laws, and Bäcklund Transformations

I. S. Krasil’shchik and A. M. Vinogradov
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I. S. Krasil’shchik: All-Union Institute for Scientific and Technical Information
A. M. Vinogradov: Moscow State University

A chapter in Symmetries of Partial Differential Equations, 1989, pp 161-209 from Springer

Abstract: 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.

Keywords: Differential equations; geometrical theory; nonlocal symmetries and conservation laws (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-94-009-1948-8_8

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