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
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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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
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e-ISSN
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Number of pages
16
Pages from-to
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Publisher name
Slezská Univerzita v Opavě, Opava
Place of publication
Opava, ČR
Event location
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Event date
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Type of event by nationality
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UT code for WoS article
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