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Statements

Subject Item
n2:RIV%2F47813059%3A19610%2F11%3A%230000316%21RIV12-MSM-19610___
rdf:type
n6:Vysledek skos:Concept
rdfs:seeAlso
http://iopscience.iop.org/0951-7715/24/9/011/
dcterms:description
A de Sole, V G Kac and M Wakimoto have recently introduced a new family of compatible Hamiltonian operators of the form H((N,0)) = D(2)circle((1/u)circle D)(2n)circle D, where N = 2n + 3, n = 0, 1, 2,..., u is the dependent variable and D is the total derivative with respect to the independent variable. We present a differential substitution that reduces any linear combination of these operators to an operator with constant coefficients and linearizes any evolution equation which is bi-Hamiltonian with respect to a pair of any nontrivial linear combinations of the operators H((N,0)) . We also give the Darboux coordinates for H((N,0)) for any odd N >= 3. A de Sole, V G Kac and M Wakimoto have recently introduced a new family of compatible Hamiltonian operators of the form H((N,0)) = D(2)circle((1/u)circle D)(2n)circle D, where N = 2n + 3, n = 0, 1, 2,..., u is the dependent variable and D is the total derivative with respect to the independent variable. We present a differential substitution that reduces any linear combination of these operators to an operator with constant coefficients and linearizes any evolution equation which is bi-Hamiltonian with respect to a pair of any nontrivial linear combinations of the operators H((N,0)) . We also give the Darboux coordinates for H((N,0)) for any odd N >= 3.
dcterms:title
The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
skos:prefLabel
The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
skos:notation
RIV/47813059:19610/11:#0000316!RIV12-MSM-19610___
n6:predkladatel
n9:orjk%3A19610
n3:aktivita
n7:Z n7:S
n3:aktivity
S, Z(MSM4781305904)
n3:cisloPeriodika
9
n3:dodaniDat
n4:2012
n3:domaciTvurceVysledku
n8:8967245
n3:druhVysledku
n12:J
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
192852
n3:idVysledku
RIV/47813059:19610/11:#0000316
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Hamiltonian operators; bi-Hamiltonian systems; evolution equations; linearization
n3:klicoveSlovo
n10:bi-Hamiltonian%20systems n10:linearization n10:Hamiltonian%20operators n10:evolution%20equations
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[5059187B06D5]
n3:nazevZdroje
Nonlinearity
n3:obor
n19:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n4:2011
n3:svazekPeriodika
24
n3:tvurceVysledku
Vodová, Jiřina
n3:wos
000295165400011
n3:zamer
n20:MSM4781305904
s:issn
0951-7715
s:numberOfPages
6
n5:doi
10.1088/0951-7715/24/9/011
n14:organizacniJednotka
19610