Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies

Bogdanov, L. V.; Konopelchenko, B. G.; Alonso, L. Martinez

Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies

Authors

Bogdanov, L. V.

Konopelchenko, B. G.

Alonso, L. Martinez

Description

The quasi-classical $\bar{\partial}$-dressing method is used to derive compact generating equations for dispersionless hierarchies. Dispersionless Kadomtsev-Petviashvili (KP) and two-dimensional Toda lattice (2DTL) hierarchies are considered as illustrative examples.
11 pages, the text of the talk at NEEDS 2001 conference