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

Details dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy

2001-03-14

arxiv.org/abs/nlin/0103015v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTeX

Scientific paper

10.1016/S0375-9601(01)00395-4

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.

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