Integrable Hierarchy of the Quantum Benjamin-Ono Equation
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 Hami...
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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149370 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149370 |
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dspace |
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irk-123456789-1493702019-02-22T01:23:33Z Integrable Hierarchy of the Quantum Benjamin-Ono Equation Nazarov, M. Sklyanin, E. 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]. 2013 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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]. |
| format |
Article |
| author |
Nazarov, M. Sklyanin, E. |
| spellingShingle |
Nazarov, M. Sklyanin, E. Integrable Hierarchy of the Quantum Benjamin-Ono Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nazarov, M. Sklyanin, E. |
| author_sort |
Nazarov, M. |
| title |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation |
| title_short |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation |
| title_full |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation |
| title_fullStr |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation |
| title_full_unstemmed |
Integrable Hierarchy of the Quantum Benjamin-Ono Equation |
| title_sort |
integrable hierarchy of the quantum benjamin-ono equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149370 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT nazarovm integrablehierarchyofthequantumbenjaminonoequation AT sklyanine integrablehierarchyofthequantumbenjaminonoequation |
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2023-05-20T17:32:50Z |
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2023-05-20T17:32:50Z |
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1796153542259507200 |