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Description
  • In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. We also apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows us to replicate infinitely many local commuting flows and corresponding local conservation law densities.
  • In this paper we found a Lagrangian representation and corresponding Hamiltonian structure for the constant astigmatism equation. Utilizing this Hamiltonian structure and extra conservation law densities we construct a first evolution commuting flow of the third order. We also apply the recursion operator and present a second Hamiltonian structure. This bi-Hamiltonian structure allows us to replicate infinitely many local commuting flows and corresponding local conservation law densities. (en)
Title
  • Lagrangian and Hamiltonian structures for the constant astigmatism equation
  • Lagrangian and Hamiltonian structures for the constant astigmatism equation (en)
skos:prefLabel
  • Lagrangian and Hamiltonian structures for the constant astigmatism equation
  • Lagrangian and Hamiltonian structures for the constant astigmatism equation (en)
skos:notation
  • RIV/47813059:19610/13:#0000443!RIV15-MSM-19610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.20.0002), P(GAP201/11/0356)
http://linked.open...iv/cisloPeriodika
  • 39
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Zykov, Sergej A.
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 84228
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/13:#0000443
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • constant astigmatism equation; bi-Hamiltonian structure (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [7D9CC68DABE1]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A: Mathematical and Theoretical
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
  • 46
http://linked.open...iv/tvurceVysledku
  • Pavlov, Maxim V.
  • Zykov, Sergej A.
http://linked.open...ain/vavai/riv/wos
  • 000324796000006
issn
  • 1751-8113
number of pages
http://bibframe.org/vocab/doi
  • 10.1088/1751-8113/46/39/395203
http://localhost/t...ganizacniJednotka
  • 19610
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