Solutions of the Sinh-Gordon and Sine-Gordon equations and applications
Analysis of PDEs
2022-12-20 v1 Differential Geometry
Abstract
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 elliptic versions of sinh-Gordon and sine-Gordon equations. As an application, we construct new harmonic maps between surfaces, when the target is of constant curvature -1.
Keywords
Cite
@article{arxiv.2212.09546,
title = {Solutions of the Sinh-Gordon and Sine-Gordon equations and applications},
author = {Giannis Polychrou},
journal= {arXiv preprint arXiv:2212.09546},
year = {2022}
}
Comments
14 pages, to be published