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 7 jun 2025