About: Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries     Goto   Sponge   NotDistinct   Permalink

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  • Using the methods of the theory of formal symmetries, we obtain new easily verifiable sufficient conditions for a recursion operator to produce a hierarchy of local generalized symmetries. An important advantage of our approach is that under certain mild assumptions it allows to bypass the cumbersome check of hereditariness of the recursion operator in question, what is particularly useful for the study of symmetries of newly discovered integrable systems. What is more, unlike the earlier work, the homogeneity of recursion operators and symmetries under a scaling is not assumed as well. An example of nonhereditary recursion operator generating a hierarchy of local symmetries is presented.
  • Using the methods of the theory of formal symmetries, we obtain new easily verifiable sufficient conditions for a recursion operator to produce a hierarchy of local generalized symmetries. An important advantage of our approach is that under certain mild assumptions it allows to bypass the cumbersome check of hereditariness of the recursion operator in question, what is particularly useful for the study of symmetries of newly discovered integrable systems. What is more, unlike the earlier work, the homogeneity of recursion operators and symmetries under a scaling is not assumed as well. An example of nonhereditary recursion operator generating a hierarchy of local symmetries is presented. (en)
  • Užívaje metod teorie formálních symetrií získáváme nové snadno ověřitelné postačující podmínky pro to, aby operátor rekurze generoval hierarchii lokálních zobecněných symetrií. Důležitou výhodou našeho přístupu je to, že se za jistých poměrně slabých předpokladů lze vyhnout těžkopádnému ověřování dědičnosti uvažovaného operátora rekurze, což je obzvlášť důležité při zkoumání symetrií nově objevených integrabilních systémů. Navíc, na rozdíl od dřívějších prací, se nepředpokládá homogennost operátorů rekurze a symetrii vůči škálování. Uveden příklad nedědičného operátora rekurze, který generuje hierarchii lokálních symetrií. (cs)
Title
  • Lokalita symetrií generovaných nedědičnými nehomogenními a nestacionárními operátory rekurze: nová aplikace formálních symetrií (cs)
  • Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries
  • Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries (en)
skos:prefLabel
  • Lokalita symetrií generovaných nedědičnými nehomogenními a nestacionárními operátory rekurze: nová aplikace formálních symetrií (cs)
  • Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries
  • Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries (en)
skos:notation
  • RIV/47813059:19610/04:00011719!RIV/2005/GA0/196105/N
http://linked.open.../vavai/riv/strany
  • 95;109
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/0724), Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 1-2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Sergyeyev, Artur
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 571706
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/04:00011719
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • recursion operator;formal symmetry; evolution equations; generalized symmetries; integrability (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [38D25D35B74E]
http://linked.open...i/riv/nazevZdroje
  • Acta Applicandae Mathematicae
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 83
http://linked.open...iv/tvurceVysledku
  • Sergyeyev, Artur
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8019
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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