4 papers
Explicit harmonic and wave maps into variable-curvature surfaces
Anestis Fotiadis, Giannis Polychrou
Explicit harmonic and wave maps are typically available only in highly symmetric or constant-curvature settings, where additional symmetry or integrability structures are present.…
Functional separation solutions of the Sinh-Gordon type equations
G. Polychrou
In this paper, we address the following question: Which hyperbolic or elliptic PDEs admit functional separable solutions. We shall focus on the study of a sinh-Gordon type equation…
Solutions of the Sinh-Gordon and Sine-Gordon equations and applications
Giannis Polychrou
We study the elliptic sinh-Gordon and sine-Gordon equations on the real plane and we introduce new families of solutions. We use a Backlund transformation that connects the ellipti…
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…