Integrable Hierarchy of the Quantum Benjamin-Ono Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation
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| Creator |
Nazarov, M.
Sklyanin, E. |
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| Description |
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].
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| Date |
2019-02-21T07:26:23Z
2019-02-21T07:26:23Z 2013 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 33D52; 05E05; 37K10; 81Q80 DOI: http://dx.doi.org/10.3842/SIGMA.2013.078 http://dspace.nbuv.gov.ua/handle/123456789/149370 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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