Radial Loewner equation and dispersionless cmKP hierarchy
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It has been shown that the dispersionless KP hierarchy (or the Benney hierarchy) is reduced to the chordal Löwner equation. We show that the radial Löwner 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.
18 pages, Latex2e (article, amsmath, amssymb, amsthm)
18 pages, Latex2e (article, amsmath, amssymb, amsthm)