About: The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations

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About: The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://iopscience.iop.org/0951-7715/24/9/011/
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. (en)
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 (en)
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 (en)
skos:notation	RIV/47813059:19610/11:#0000316!RIV12-MSM-19610___
http://linked.open...avai/riv/aktivita	S Z
http://linked.open...avai/riv/aktivity	S, Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Vodová, Jiřina
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	192852
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/11:#0000316
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Hamiltonian operators; bi-Hamiltonian systems; evolution equations; linearization (en)
http://linked.open.../riv/klicoveSlovo	linearization Hamiltonian operators bi-Hamiltonian systems evolution equations
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[5059187B06D5]
http://linked.open...i/riv/nazevZdroje	Nonlinearity
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	24
http://linked.open...iv/tvurceVysledku	Vodová, Jiřina
http://linked.open...ain/vavai/riv/wos	000295165400011
http://linked.open...n/vavai/riv/zamer	Topological and analytical methods in the theory of dynamical systems and mathematical physics
issn	0951-7715
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/0951-7715/24/9/011
http://localhost/t...ganizacniJednotka	19610

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