2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107817It 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)Exactly Solvable and Integrable SystemsHigh Energy Physics - TheoryQuantum Algebratext