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On the action of recursion operators on nonlocal symmetries

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F00%3A00000051" target="_blank" >RIV/47813059:19610/00:00000051 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the action of recursion operators on nonlocal symmetries

  • Original language description

    We consider the recursion operators with nonlocal terms of special form for evolution systems in (1+1) dimensions, and extend them to well-defined operators on the space of nonlocal symmetries associated with the so-called universal Abelian coverings over these systems. The extended recursion operators are shown to leave this space invariant. These results apply, in particular, to the recursion operators of the majority of known today (1+1)-dimensional integrable evolution systems. We also present somerelated results and describe the extension of them and of the above results to (1+1)-dimensional systems of PDEs transformable into the evolutionary form. Some examples and applications are given.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2000

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the Seminar on Differential Geometry

  • ISBN

    ISBN80-7248-104

  • ISSN

  • e-ISSN

  • Number of pages

    16

  • Pages from-to

  • Publisher name

    Slezská Univerzita v Opavě, Opava

  • Place of publication

    Opava, ČR

  • Event location

  • Event date

  • Type of event by nationality

  • UT code for WoS article