14 citations · 15 across the 3 of their papers we have counts for
5 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…
Pfaffian form of the Grammian determinant solutions of the BKP hierarchy
Q. P. Liu, Manuel Manas
The Grammian determinant type solutions of the KP hierarchy, obtained through the vectorial binary Darboux transformation, are reduced, imposing suitable differential constraint on…
Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations
Q. P. Liu, M. Manas
The vectorial fundamental transformation for the Darboux equations is reduced to the symmetric case. This is combined with the orthogonal reduction of Lame type to obtain those vec…