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Article overview
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Quasi-symmetric functions and the KP hierarchy | | Aristophanes Dimakis
; Folkert Muller-Hoissen
; | | Date: |
17 Jan 2009 | | Abstract: | Quasi-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. | | Source: | arXiv, 0901.2562 | | Services: | Forum | Review | PDF | Favorites | |
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