Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Vladimir Roubtsov"'
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 013 (2007)
We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.
Externí odkaz:
https://doaj.org/article/f27d9f6de273472887c215890f97d131
ON THE KADOMTSEV-PETVIASHVILI HIERARCHY IN AN EXTENDED CLASS OF FORMAL PSEUDO-DIFFERENTIAL OPERATORS
Autor:
Jean-Pierre Magnot, Vladimir Roubtsov
Publikováno v:
Theoretical and Mathematical Physics
Theoretical and Mathematical Physics, Springer, In press
Theoretical and Mathematical Physics, Springer, In press
We study the existence and uniqueness of the Kadomtsev-Petviashvili (KP) hierarchy solutions in the algebra of $\F Cl(S^1,\K^n)$ of formal classical pseudo-differential operators. The classical algebra $\Psi DO(S^1,\K^n)$ where the KP hierarchy is we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa419ad5b20ed6d1d4cf507bcd6210f9
https://hal.archives-ouvertes.fr/hal-03104685/file/quaternionKP-TMP-2020-12-22.pdf
https://hal.archives-ouvertes.fr/hal-03104685/file/quaternionKP-TMP-2020-12-22.pdf
Autor:
Vladimir Roubtsov, Denys Dutykh
Publikováno v:
Differential Geometry, Differential Equations, and Mathematical Physics ISBN: 9783030632526
This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisla–2019, Poland and written down by the second author. As the title suggests, the material covered here includes the Poisson a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d894e278c5db6bf7863682161fd5aff6
https://doi.org/10.1007/978-3-030-63253-3_1
https://doi.org/10.1007/978-3-030-63253-3_1
These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and Savilian Professor of Geometry at Oxford. The pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28de6f8217fe144302bd5d2926360888
https://doi.org/10.1093/oso/9780198802013.001.0001
https://doi.org/10.1093/oso/9780198802013.001.0001
Publikováno v:
Journal of Geometry and Physics. 141:159-160
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e06d3b68cd29e4878c97efd62dd76810
https://doi.org/10.1016/j.geomphys.2019.04.011
https://doi.org/10.1016/j.geomphys.2019.04.011
We show how a symmetry reduction of the equations for incompressible hydrodynamics in three dimensions leads naturally to a Monge-Amp\`ere structure, and Burgers'-type vortices are a canonical class of solutions associated with this structure. The ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02c8d6cdd8c92735a0fb6ee841e42f6b
http://arxiv.org/abs/1510.02327
http://arxiv.org/abs/1510.02327
Publikováno v:
Journal of Geometry and Physics. 87:1-2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff62ba14ea9a11d1af74bbf3333f6eb8
https://doi.org/10.1016/j.geomphys.2014.11.008
https://doi.org/10.1016/j.geomphys.2014.11.008
Publikováno v:
Proceedings of Royal Society A Mathematical, physical and engineering sciences
Proceedings of Royal Society A Mathematical, physical and engineering sciences, Royal Society, 2009, 465 (2107), pp.2015-2021. ⟨10.1098/rspa.2008.0483⟩
Proceedings of Royal Society A Mathematical, physical and engineering sciences, Royal Society, 2009, 465 (2107), pp.2015-2021. ⟨10.1098/rspa.2008.0483⟩
The pressure in the incompressible three-dimensional Navier–Stokes and Euler equations is governed by Poisson's equation: this equation is studied using the geometry of three-forms in six dimensions. By studying the linear algebra of the vector spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::004df576e6f45c7b85e6a67fb1f470f8
https://surrey.eprints-hosting.org/71794/
https://surrey.eprints-hosting.org/71794/
Autor:
Vladimir Roubtsov, T. Skrypnyk
Publikováno v:
The Abel symposium 2008
The Abel symposium 2008, Jun 2008, Tromso, Norway. pp.311-333, ⟨10.1007/978-3-642-00873-3_15⟩
Differential Equations-Geometry, Symmetries and Integrability ISBN: 9783642008726
The Abel symposium 2008, Jun 2008, Tromso, Norway. pp.311-333, ⟨10.1007/978-3-642-00873-3_15⟩
Differential Equations-Geometry, Symmetries and Integrability ISBN: 9783642008726
International audience; We show that for a general quadratic Poisson bracket it is possible to define a lot of associated linear Poisson brackets: linearizations of the initial bracket in the neighborhood of special points. We prove that the construc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5339a7da2c5e84af06376b2ff49b2c87
https://hal.univ-angers.fr/hal-03031608/file/chp3a10.10072f978-3-642-00873-3_15.pdf
https://hal.univ-angers.fr/hal-03031608/file/chp3a10.10072f978-3-642-00873-3_15.pdf
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 013 (2007)
We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.
Comment: This is a contribution to the Vadim Kuznetsov Memorial Iss
Comment: This is a contribution to the Vadim Kuznetsov Memorial Iss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4abba05894d2353d795c65505f0031f
https://doi.org/10.3842/sigma.2007.013
https://doi.org/10.3842/sigma.2007.013