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Quasi-symmetric functions and the KP hierarchy by Dimakis, Aristophanes; Muller-Hoissen, Folkert is a scholarly article available to read on EtoBox.

What is Quasi-symmetric functions and the KP hierarchy about?

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.

Author

Dimakis, Aristophanes; Muller-Hoissen, Folkert

Published

2009

Language

EN