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Description
  • We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives.
  • We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives. (en)
Title
  • Conservation laws and normal forms of evolution equations
  • Conservation laws and normal forms of evolution equations (en)
skos:prefLabel
  • Conservation laws and normal forms of evolution equations
  • Conservation laws and normal forms of evolution equations (en)
skos:notation
  • RIV/47813059:19610/10:#0000284!RIV11-MSM-19610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • 22
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 251876
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/10:#0000284
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Evolution equations; Conservation laws; Linear equations; Cosymmetries; Point transformations; Contact transformations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [C3A74FE3E289]
http://linked.open...i/riv/nazevZdroje
  • Physics Letters A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 374
http://linked.open...iv/tvurceVysledku
  • Sergyeyev, Artur
  • Popovych, Roman O.
http://linked.open...ain/vavai/riv/wos
  • 000277883400003
http://linked.open...n/vavai/riv/zamer
issn
  • 0375-9601
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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