Radial Loewner equation and dispersionless cmKP hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
It has been shown that the dispersionless KP hierarchy (or the Benney hierarchy) is reduced to the chordal L\"owner equation. We show that the radial L\"owner equation also gives reduction of a dispersionless type integrable system. The resulting system acquires another degree of freedom and becomes the dcmKP hierarchy, which is a ``half'' of the dispersionless Toda hierarchy. The results of this article was announced in nlin.SI/0512008.
Keywords
Cite
@article{arxiv.nlin/0601063,
title = {Radial Loewner equation and dispersionless cmKP hierarchy},
author = {Kanehisa Takasaki and Takashi Takebe},
journal= {arXiv preprint arXiv:nlin/0601063},
year = {2007}
}
Comments
18 pages, Latex2e (article, amsmath, amssymb, amsthm)