2001/03/14 by B. G. Konopelchenko, B. Konopelchenko, Luis Martı́nez Alonso +1 · 34 citations
Mathematics · Physics and Astronomy · #Analytic and geometric function theory #Black Holes and Theoretical Physics #Geometry #Hierarchy #Integrable system #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Scalar (mathematics) #math.CV #nlin.SI
paper · pdf · doi:10.1016/s0375-9601(01)00395-4
published in Physics Letters A 286(2-3), 161-166 (Elsevier BV) · 13 pages, LaTeX
arxiv created 2001/03/14 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane. Examples of deformations of quasiconformal mappings associated with explicit solutions of the dispersionless KP hierarchy are presented.