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  • Zavádíme kotečnou univerzální hierarchii, která rozšiřuje univerzální hierarchii z prací [L. Martínez Alonso, A.B. Shabat, Phys. Lett. A 300 (1) (2002) 58, nlin.SI/0202008; A.B. Shabat, Theor. Math. Phys. 136 (2003) 1066; L. Martínez Alonso, A.B. Shabat, J. Nonlinear Math. Phys. 10 (2) (2003) 229, nlin.SI/0310036; L. Martínez Alonso, A.B. Shabat, Theor. Math. Phys. 140 (2) (2004) 1073, nlin.SI/0312043; A. Shabat, J. Nonlinear Math. Phys. 12 (Suppl. 1) (2005) 614]. Dále konstruujeme dvojité centrální rozšíření kotečné univerzální hierarchie a dokazujeme, že je to (2 + 1)-rozměrná bi-Hamiltonovská hierarchie. Jako vedlejší produkt této konstrukce získáváme centrální rozšíření původní univerzální hierarchie. (cs)
  • We introduce the cotangent universal hierarchy that extends the universal hierarchy from [L. Martinez Alonso, A.B. Shabat, Phys. Lett. A 300 (1) (2002) 58, nlin.SI/0202008; A.B. Shabat, Theor. Math. Phys. 136 (2003) 1066; L. Martinez Alonso, A.B. Shabat, J. Nonlinear Math. Phys. 10 (2) (2003) 229, nlin.SI/0310036; L. Martinez Alonso, A.B. Shabat, Theor. Math. Phys. 140 (2) (2004) 1073, nlin.SI/0312043; A. Shabat, J. Nonlinear Math. Phys. 12 (Suppl. 1) (2005) 614). Then we construct a (2 + 1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy.
  • We introduce the cotangent universal hierarchy that extends the universal hierarchy from [L. Martinez Alonso, A.B. Shabat, Phys. Lett. A 300 (1) (2002) 58, nlin.SI/0202008; A.B. Shabat, Theor. Math. Phys. 136 (2003) 1066; L. Martinez Alonso, A.B. Shabat, J. Nonlinear Math. Phys. 10 (2) (2003) 229, nlin.SI/0310036; L. Martinez Alonso, A.B. Shabat, Theor. Math. Phys. 140 (2) (2004) 1073, nlin.SI/0312043; A. Shabat, J. Nonlinear Math. Phys. 12 (Suppl. 1) (2005) 614). Then we construct a (2 + 1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy. (en)
Title
  • Central extensions of cotangent universal hierarchy: (2 + 1)-dimensional bi-Hamiltonian systems
  • Central extensions of cotangent universal hierarchy: (2 + 1)-dimensional bi-Hamiltonian systems (en)
  • Centrální rozšíření kotečné univerzální hierarchie: (2 + 1)-rozměrné bi-Hamiltonovské systémy (cs)
skos:prefLabel
  • Central extensions of cotangent universal hierarchy: (2 + 1)-dimensional bi-Hamiltonian systems
  • Central extensions of cotangent universal hierarchy: (2 + 1)-dimensional bi-Hamiltonian systems (en)
  • Centrální rozšíření kotečné univerzální hierarchie: (2 + 1)-rozměrné bi-Hamiltonovské systémy (cs)
skos:notation
  • RIV/47813059:19610/08:#0000215!RIV09-MSM-19610___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4781305904)
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  • 359107
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  • RIV/47813059:19610/08:#0000215
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  • cotangent universal hierarchy; central extension; integrable systems; (2+1)-dimensional bi-Hamiltonian systems; R-matrix (en)
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  • NL - Nizozemsko
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  • [38DEE707B40A]
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  • Physics Letters A
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  • 372
http://linked.open...iv/tvurceVysledku
  • Sergyeyev, Artur
  • Szablikowski, Błażej Marek
http://linked.open...ain/vavai/riv/wos
  • 000261719900004
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  • 0375-9601
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  • 19610
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