RT Journal Article
T1 Singular sector of the Kadomtsev–Petviashvili hierarchy, δ̅ operators of nonzero index, and associated integrable systems
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena
AB Integrable hierarchies associated with the singular sector of the Kadomtsev– Petviashvili (KP) hierarchy, or equivalently, with δ̅ operators of nonzero index are studied. They arise as the restriction of the standard KP hierarchy to submanifolds of finite codimension in the space of independent variables. For higher δ̅ index these hierarchies represent themselves as families of multidimensional equations with multidimensional constraints. The δ̅ -dressing method is used to construct these hierarchies. Hidden Korteweg–de Vries, Boussinesq, and hidden Gelfand–Dikii hierarchies are considered, too.
PB American Institute of Physics
SN 0022-2488
YR 2000
FD 2000-01
LK https://hdl.handle.net/20.500.14352/59828
UL https://hdl.handle.net/20.500.14352/59828
LA eng
NO ©2000 American Institute of Physics.This work was partially supported by CICYT Proyecto No. PB95-0401.
NO CICYT
DS Docta Complutense
RD 6 abr 2025