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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Bibliographic Details
Date:2013
Main Authors: Nazarov, M., Sklyanin, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149370
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine