14 citations · 30 across the 15 of their papers we have counts for
16 papers
Lund--Regge Geometry and Integrability of a Generalized Konno--Oono System
Jose Luis Diaz Palencia, Enrique G. Reyes
We extend recent work on the relation between classical surface theory and partial differential equations, focusing on equations of pseudo-spherical type in the sense of Chern--Ten…
Frolicher structures, diffieties, and a formal KP hierarchy
Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov
We propose a definition of a diffiety based on the theory of Frolicher structures. As a consequence, we obtain a natural Vinogradov sequence and, under the assumption of the existe…
On Zakharov-Shabat equations of generalized Kadomtsev-Petviashvili hierarchies
Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov
We review the integration of the KP hierarchy in several non-standard contexts. Specifically, we consider KP in the following associative differential algebras: an algebra equipped…
Pseudo-peakons and Cauchy analysis for an integrable fifth-order equation of Camassa-Holm type
Enrique G. Reyes, Mingxuan Zhu, Zhijun Qiao
In this paper we discuss integrable higher order equations {\em of Camassa-Holm (CH) type}. Our higher order CH-type equations are "geometrically integrable", that is, they describ…
Rigid body equations on spaces of pseudo-differential operators with renormalized trace
Jean-Pierre Magnot, Enrique G. Reyes
We equip the regular Fréchet Lie group of invertible, odd-class, classical pseudodifferential operators -- in which is a compact smooth manifold and a…
The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models
Alan Chávez, Humberto Prado, Enríque G. Reyes
We define rigorously operators of the form , in which is an analytic function on a simply connected domain. Our formalism is based on the Borel transform on enti…