14 citations · 15 across the 3 of their papers we have counts for
6 papers
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…
Singular sector of the KP hierarchy, -operators of non-zero index and associated integrable systems
Boris G. Konopelchenko, Luis Martinez Alonso, Elena Medina
Integrable hierarchies associated with the singular sector of the KP hierarchy, or equivalently, with $\dbar$-operators of non-zero index are studied. They arise as the restriction…