%0 Journal Article
%A Konopelchenko, Boris
%A Martínez Alonso, Luis
%T Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical δ̅ -dressing method
%D 2002
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/59825
%X The quasiclassical limit of the scalar nonlocal  δ̅ -problem is derived and a quasiclassical version of the  δ̅-dressing method is presented. Dispersionless Kadomtsev– Petviashvili (KP), modified KP, and dispersionless two- dimensional Toda lattice (2DTL) hierarchies are discussed as illustrative examples. It is shown that the universal Whitham hierarchy is nothing but the ring of symmetries for the quasiclassical δ̅-problem. The reduction problem is discussed and, in particular, the d2DTL equation of B type is derived.
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