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  • All local generalized symmetries of the Bakirov system are found. In particular, it is shown that its only non-Lie-point local generalized symmetry is the sixth order one found by Bakirov. This result generalizes a similar result of Beukers, Sanders and Wang on x,t-independent symmetries and completes the refutation of the popular conjecture stating that the existence of one non-Lie-point local generalized symmetry for a (1+1)-dimensional system of PDEs implies the existence of infinitely many such symmetries.
  • All local generalized symmetries of the Bakirov system are found. In particular, it is shown that its only non-Lie-point local generalized symmetry is the sixth order one found by Bakirov. This result generalizes a similar result of Beukers, Sanders and Wang on x,t-independent symmetries and completes the refutation of the popular conjecture stating that the existence of one non-Lie-point local generalized symmetry for a (1+1)-dimensional system of PDEs implies the existence of infinitely many such symmetries. (en)
Title
  • Symmetries and integrability: Bakirov system revisited
  • Symmetries and integrability: Bakirov system revisited (en)
skos:prefLabel
  • Symmetries and integrability: Bakirov system revisited
  • Symmetries and integrability: Bakirov system revisited (en)
skos:notation
  • RIV/47813059:19610/01:00000060!RIV/2002/MSM/196102/N
http://linked.open.../vavai/riv/strany
  • 4983-4990
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika
  • 23
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
  • 698027
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/01:00000060
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • generalized symmetries, evolution equation, integrability, Bakirov system, time-dependent symmetries, formal symmetries (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [83F519BFEE7A]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A : Mathematical and General
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 34
http://linked.open...iv/tvurceVysledku
  • Sergyeyev, Artur
http://linked.open...n/vavai/riv/zamer
issn
  • 0305-4470
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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