---
_id: '53538'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>We study harmonic maps from a subset
    of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis
    (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon
    equation and a Bäcklund transformation is introduced, which connects solutions
    of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order
    to construct new harmonic maps to the hyperbolic plane.</jats:p>
author:
- first_name: G.
  full_name: Polychrou, G.
  last_name: Polychrou
- first_name: Efthymia
  full_name: Papageorgiou, Efthymia
  id: '100325'
  last_name: Papageorgiou
- first_name: A.
  full_name: Fotiadis, A.
  last_name: Fotiadis
- first_name: C.
  full_name: Daskaloyannis, C.
  last_name: Daskaloyannis
citation:
  ama: Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic
    maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática
    Complutense</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>
  apa: Polychrou, G., Papageorgiou, E., Fotiadis, A., &#38; Daskaloyannis, C. (2023).
    New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation.
    <i>Revista Matemática Complutense</i>. <a href="https://doi.org/10.1007/s13163-023-00476-z">https://doi.org/10.1007/s13163-023-00476-z</a>
  bibtex: '@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New
    examples of harmonic maps to the hyperbolic plane via Bäcklund transformation},
    DOI={<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>},
    journal={Revista Matemática Complutense}, publisher={Springer Science and Business
    Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A.
    and Daskaloyannis, C.}, year={2023} }'
  chicago: Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis.
    “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.”
    <i>Revista Matemática Complutense</i>, 2023. <a href="https://doi.org/10.1007/s13163-023-00476-z">https://doi.org/10.1007/s13163-023-00476-z</a>.
  ieee: 'G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples
    of harmonic maps to the hyperbolic plane via Bäcklund transformation,” <i>Revista
    Matemática Complutense</i>, 2023, doi: <a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>.'
  mla: Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane
    via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, Springer
    Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>.
  short: G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática
    Complutense (2023).
date_created: 2024-04-17T13:15:07Z
date_updated: 2024-04-17T13:15:51Z
department:
- _id: '555'
doi: 10.1007/s13163-023-00476-z
keyword:
- General Mathematics
language:
- iso: eng
publication: Revista Matemática Complutense
publication_identifier:
  issn:
  - 1139-1138
  - 1988-2807
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
type: journal_article
user_id: '100325'
year: '2023'
...