Integrable Hierarchy of the Quantum Benjamin-Ono Equation

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dc.contributor.authorNazarov, M.
dc.contributor.authorSklyanin, E.
dc.date.accessioned2019-02-21T07:26:23Z
dc.date.available2019-02-21T07:26:23Z
dc.date.issued2013
dc.description.abstractA hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many variables x₁,x₂,…. This construction provides explicit expressions for the Hamiltonians in terms of the power sum symmetric functions pn=x₁ⁿ+x₂ⁿ+⋯ and is based on our recent results from [Comm. Math. Phys. 324 (2013), 831-849].uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. We are very grateful to S.M. Khoroshkin and J. Shiraishi for friendly discussions. We cannot praise enough the wonderful Maple packages by J. Stembridge [17] that facilitated our work with symmetric functions. The first and the second named of us have been supported by the EPSRC grants EP/I014071 and EP/H000054 respectively.uk_UA
dc.identifier.citationIntegrable Hierarchy of the Quantum Benjamin-Ono Equation / M. Nazarov, E. Sklyanin // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 20 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33D52; 05E05; 37K10; 81Q80
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.078
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149370
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleIntegrable Hierarchy of the Quantum Benjamin-Ono Equationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік