2 Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy ∗
نویسنده
چکیده
A ∂̄-formalism for studying dispersionless integrable hierarchies is applied to the dKP hierarchy. Connections with the theory of quasiconformal mappings on the plane are described and some clases of explicit solutions of the dKP hierarchy are presented.
منابع مشابه
00 1 ∂ - equations , integrable deformations of quasiconformal mappings and Whitham hierarchy ∗
∂-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy * B. Konopelchenko Abstract 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...
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