Quasi-symmetric functions and the KP hierarchy

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dc.creatorDimakis, Aristophanes
dc.creatorMuller-Hoissen, Folkert
dc.date2009-01-16
dc.date2009-01-17
dc.date.accessioned2026-07-07T12:31:08Z
dc.date.available2026-07-07T12:31:08Z
dc.descriptionQuasi-symmetric functions show up in an approach to solve the Kadomtsev-Petviashvili (KP) hierarchy. This moreover features a new nonassociative product of quasi-symmetric functions that satisfies simple relations with the ordinary product and the outer coproduct. In particular, supplied with this new product and the outer coproduct, the algebra of quasi-symmetric functions becomes an infinitesimal bialgebra. Using these results we derive a sequence of identities in the algebra of quasi-symmetric functions that are in formal correspondence with the equations of the KP hierarchy.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0901.2562
dc.identifierhttp://arxiv.org/abs/0901.2562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216348
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject16W30; 05E05; 37K10; 17Dxx
dc.titleQuasi-symmetric functions and the KP hierarchy
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