27 citations · 38 across the 4 of their papers we have counts for
4 papers
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…
On the Whitham Hierarchies: Reductions and Hodograph Solutions
Francisco Guil, Manuel Manas, Luis Martinez Alonso
A general scheme for analyzing reductions of Whitham hierarchies is presented. It is based on a method for determining the -function by means of a system of first order partial…
The Three-Wave Resonant Interaction: Deformation of the Plane-Wave Solutions and Darboux Transformations
F. Guil, M. Mañas
The plane wave solutions of the three-wave resonant interaction in the plane are considered. It is shown that rank-one constraints over the right derivatives of invertible operator…
Two-Dimensional Integrable Systems and Self-Dual Yang-Mills Equations
Francisco Guil, Manuel Mañas
The relation between two--dimensional integrable systems and four--dimen\-sional self--dual Yang--Mills equations is considered. Within the twistor description and the zero--curvat…