00 1 ∂ - equations , integrable deformations of quasiconformal mappings and Whitham hierarchy ∗
نویسندگان
چکیده
∂-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 solutions of the dispersionless KP hierarchy are presented.
منابع مشابه
2 Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy ∗
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.
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