2006/01/30 by Kanehisa Takasaki, Takashi Takebe, Takasaki, Kanehisa +1
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0601063
18 pages, Latex2e (article, amsmath, amssymb, amsthm)
arxiv created 2006/01/30 · arxiv updated 2009/12/01
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.