RT Journal Article
T1 The  δ̅ -approach to the dispersionless KP hierarchy
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
A1 Ragnisco, O.
AB The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class of nonlinear first-order equations. A quasiclassical version of the partial derivative -dressing method is presented. It is shown that the algebraic formulation of dispersionless hierarchies can be expressed in terms of properties of Beltrami-type equations. The universal Whitham hierarchy and, in particular, the dispersionless KP hierarchy turn out to be rings of symmetries for the quasiclassical partial derivative -problem.
PB IOP Publishing
SN 0305-4470
YR 2001
FD 2001-11-30
LK https://hdl.handle.net/20.500.14352/59826
UL https://hdl.handle.net/20.500.14352/59826
LA eng
NO ©2001 IOP Publishing Ltd.L Martínez Alonso is partially supported by CICYT proyecto PB98–0821.
NO CICYT
DS Docta Complutense
RD 12 may 2025