3 papers
math.DG2025
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.…
math.AP2023
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…
math.AP2022
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…