Integrable Hierarchy of the Quantum Benjamin-Ono Equation

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Nazarov, M.
dc.contributor.author	Sklyanin, E.
dc.date.accessioned	2019-02-21T07:26:23Z
dc.date.available	2019-02-21T07:26:23Z
dc.date.issued	2013
dc.identifier.citation	Integrable 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33D52; 05E05; 37K10; 81Q80
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.078
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149370
dc.description.abstract	A 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Integrable Hierarchy of the Quantum Benjamin-Ono Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA