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δ̅-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy



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Konopelchenko, Boris and Martínez Alonso, Luis (2001) δ̅-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy. Physics letters A, 286 (2-mar). pp. 161-166. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/S0375-9601(01)00395-4


It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal hitham 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.

Item Type:Article
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©2001 Elsevier Science B.V. All rights reserved.
We would like to thank Prof. E. Medina for carrying out the computer calculation of the coefficients in the second example of Section 4. B.K. is supported in part by COFIN 2000 “Sintesi” and L.M.A. by proyecto PB98-0821.

Uncontrolled Keywords:Rteweg-devries equation; Small dispersion limit; Conformal-maps; Models
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34452
Deposited On:24 Nov 2015 18:26
Last Modified:10 Dec 2018 15:10

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