Zobrazeno 1 - 10 of 45 pro vyhledávání: '"Alexander Odesskii"'
3
Noncommutative elliptic Poisson structures on projective spaces
Autor: Vladimir Sokolov, Alexander Odesskii
Publikováno v: Journal of Geometry and Physics. 169:104330
We review noncommutative Poisson structures on affine and projective spaces over C . We also construct a class of examples of noncommutative Poisson structures on C P n − 1 for n > 2 . These noncommutative Poisson structures depend on a modular par
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::087e2bbf21200291db23bf99cafae68b
https://doi.org/10.1016/j.geomphys.2021.104330
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6
Integrable structures of dispersionless systems and differential geometry
Autor: Alexander Odesskii
We develop the theory of Whitham type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an application we construct Gibbons-Tsarev systems associated to moduli space of algebraic curves of arb
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1c415d4cd75b495a015be46704f967b
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7
Integrable pseudopotentials related to generalized hypergeometric functions
Autor: Vladimir Sokolov, Alexander Odesskii
Publikováno v: Selecta Mathematica
We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8902ba72114ecaa1b390c237052f454f
https://doi.org/10.1007/s00029-010-0016-0
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8
Integrable elliptic pseudopotentials
Autor: Vladimir Sokolov, Alexander Odesskii
Publikováno v: Theoretical and Mathematical Physics. 161:1340-1352
We construct integrable pseudopotentials with an arbitrary number of fields in terms of an elliptic generalization of hypergeometric functions in several variables. These pseudopotentials are multiparameter deformations of ones constructed by Krichev
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7b7f78a8ec013e3e7da69d21cdc247bb
https://doi.org/10.1007/s11232-009-0120-5
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9
On (2+1)-dimensional hydrodynamic type systems possessing a pseudopotential with movable singularities
Autor: Vladimir Sokolov, Alexander Odesskii
Publikováno v: Functional Analysis and Its Applications. 42:205-212
We consider a class of hydrodynamic type systems that have three independent and N ⩾ 2 dependent variables and possess a pseudopotential. It turns out that systems having a pseudopotential with movable singularities can be described by some functio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::72dcbf081f6a843d526bc7fdae2a2d6f
https://doi.org/10.1007/s10688-008-0029-z
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10
A family of (2+1)-dimensional hydrodynamic type systems possessing a pseudopotential
Autor: Alexander Odesskii
Publikováno v: Selecta Mathematica. 13:727-742
We construct a family of integrable hydrodynamic type systems with three independent and n ≥ 2 dependent variables in terms of solutions of a linear system of PDEs with rational coefficients. We choose the existence of a pseudopotential as a criter
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0ae9f6060539c959f7899b15aee7209e
https://doi.org/10.1007/s00029-008-0050-3
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