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

In: Symmetries of Partial Differential Equations

Author

Listed:
  • I. S. Krasil’shchik

    (All-Union Institute for Scientific and Technical Information)

  • A. M. Vinogradov

    (Moscow State University)

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.

Suggested Citation

  • I. S. Krasil’shchik & A. M. Vinogradov, 1989. "Nonlocal Trends in the Geometry of Differential Equations: Symmetries, Conservation Laws, and Bäcklund Transformations," Springer Books, in: A. M. Vinogradov (ed.), Symmetries of Partial Differential Equations, pages 161-209, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-1948-8_8
    DOI: 10.1007/978-94-009-1948-8_8
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