RT Journal Article
T1 Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical δ̅ -dressing method
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
AB 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.
PB American Institute of Physics
SN 0022-2488
YR 2002
FD 2002-07
LK https://hdl.handle.net/20.500.14352/59825
UL https://hdl.handle.net/20.500.14352/59825
LA eng
NO ©2002 American Institute of Physics.This work has been done in the framework of Grant No. INTAS-99-1782. B.K. was supported in part by the grant COFIN 2000 ‘‘Sintesi.’’ L.M.A. has supported in part by CICYT Proyecto No. PB98-0821. B.K. is grateful to the Departamento de Fisica Teorica II Universidad Complutense for kind hospitality during which this paper was basically written.
NO COFIN
NO CICYT
DS Docta Complutense
RD 30 jun 2025