L. V. Bogdanov, B. G. Konopelchenko, L. Martínez Alonso, “Semiclassical <nobr>$\bar\partial$</nobr>-Method: Generating Equations for Dispersionless Integrable Hierarchies”, TMF, 2003, Volume 134, Number 1,Pages <nobr>46

This article is cited in 13 papers

Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies

L. V. Bogdanov^a, B. G. Konopelchenko^b, L. Martínez Alonso^c

^a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b Lecce University
^c Universidad Complutense, Departamento de Fisica Teorica II

Abstract: We use the semiclassical $\bar\partial$-dressing method to derive compact generating equations for dispersionless hierarchies. The considered illustrative examples are the dispersionless Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies.

Keywords: semiclassical limit, $\bar\partial$-method, $\tau$-function.

DOI: 10.4213/tmf139