Formal solution to the KP hierarchy
Mathematical Physics
2015-10-19 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We find all formal solutions to the -dependent KP hierarchy. They are characterized by certain Cauchy-like data. The solutions are found in the form of formal series for the tau-function of the hierarchy and for its logarithm (the F-function). An explicit combinatorial description of the coefficients of the series is provided.
Keywords
Cite
@article{arxiv.1509.04472,
title = {Formal solution to the KP hierarchy},
author = {S. Natanzon and A. Zabrodin},
journal= {arXiv preprint arXiv:1509.04472},
year = {2015}
}
Comments
23 pages, no figures