14 citations · 25 across the 5 of their papers we have counts for
6 papers · 1 filter
A common integrable structure in the hermitian matrix model and Hele-Shaw flows
Luis Martinez Alonso, Elena Medina
It is proved that the system of string equations of the dispersionless 2-Toda hierarchy which arises in the planar limit of the hermitian matrix model also underlies certain proces…
Additional symmetries and solutions of the dispersionless KP hierarchy
Luis Martinez Alonso, Manuel Manas
The dispersionless KP hierarchy is considered from the point of view of the twistor formalism. A set of explicit additional symmetries is characterized and its action on the soluti…
On Twistor Solutions of the dKP Equation
Francisco Guil, Manuel Manas, Luis Martinez Alonso
The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are co…
A hodograph transformation which applies to the heavenly equation
Manuel Manas, Luis Martinez Alonso
A hodograph transformation for a wide family of multidimensional nonlinear partial differential equations is presented. It is used to derive solutions of the heavenly equation (dis…
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…
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…