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nlin.SI2001
Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies
L. V. Bogdanov, B. G. Konopelchenko, L. Martinez Alonso
The quasi-classical -dressing method is used to derive compact generating equations for dispersionless hierarchies. Dispersionless Kadomtsev-Petviashvili (KP) and t…
nlin.SI2001
dbar-approach to the dispersionless KP hierarchy
B. Konopelchenko, L. Martinez Alonso, O. Ragnisco
The dispersionless limit of the scalar nonlocal dbar-problem is derived. It is given by a special class of nonlinear first-order equations. A quasi-classical version of the dbar-dr…