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

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

paper

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

arXiv:nlin/0111062

Abstract

The quasi-classical $\partial ˉ$ -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