Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows

dc.contributor.authorAratyn, H.
dc.contributor.authorvan de Leur, J.
dc.date.accessioned2019-02-16T08:10:09Z
dc.date.available2019-02-16T08:10:09Z
dc.date.issued2007
dc.description.abstractWe use a Grassmannian framework to define multi-component tau functions as expectation values of certain multi-component Fermi operators satisfying simple bilinear commutation relations on Clifford algebra. The tau functions contain both positive and negative flows and are shown to satisfy the 2n-component KP hierarchy. The hierarchy equations can be formulated in terms of pseudo-differential equations for n × n matrix wave functions derived in terms of tau functions. These equations are cast in form of Sato-Wilson relations. A reduction process leads to the AKNS, two-component Camassa-Holm and Cecotti-Vafa models and the formalism provides simple formulas for their solutions.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. This work has been partially supported by the European Union through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652) and the European Science Foundation Program MISGAM.uk_UA
dc.identifier.citationClifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows / H. Aratyn, J. van de Leur // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 11E88; 17B67; 22E67; 37K10
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147787
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleClifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flowsuk_UA
dc.typeArticleuk_UA

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