Geodesic
Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 2, pp. 247-258

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A $\bar {\partial }$ formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP (dKP) hierarchy. We relate this formalism to the theory of quasiconformal mappings on the plane and present some classes of explicit solutions of the dKP hierarchy.
Keywords: dispersionless hierarchies, quasiconformal mappings
Mots-clés : $\bar {\partial }$ equations. 
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     author = {B. G. Konopelchenko and L. Mart{\'\i}nez Alonso and E. Medina},
     title = {Quasiconformal {Mappings} and {Solutions} of the {Dispersionless} {KP} {Hierarchy}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2002_133_2_a9/}
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B. G. Konopelchenko; L. Martínez Alonso; E. Medina. Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 2, pp. 247-258. http://geodesic.mathdoc.fr/item/TMF_2002_133_2_a9/