Quasi-symmetric functions and the KP hierarchy
Mathematical Physics
2009-01-19 v2 math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.0901.2562,
title = {Quasi-symmetric functions and the KP hierarchy},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:0901.2562},
year = {2009}
}
Comments
16 pages