{"title":"New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation","type":"journal_article","date_updated":"2024-04-17T13:15:51Z","_id":"53538","publication":"Revista Matemática Complutense","doi":"10.1007/s13163-023-00476-z","year":"2023","user_id":"100325","publisher":"Springer Science and Business Media LLC","publication_identifier":{"issn":["1139-1138","1988-2807"]},"abstract":[{"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>","lang":"eng"}],"language":[{"iso":"eng"}],"keyword":["General Mathematics"],"citation":{"short":"G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).","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>.","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>","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>.","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>","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>."},"status":"public","publication_status":"published","department":[{"_id":"555"}],"date_created":"2024-04-17T13:15:07Z","author":[{"full_name":"Polychrou, G.","last_name":"Polychrou","first_name":"G."},{"id":"100325","full_name":"Papageorgiou, Efthymia","last_name":"Papageorgiou","first_name":"Efthymia"},{"full_name":"Fotiadis, A.","first_name":"A.","last_name":"Fotiadis"},{"last_name":"Daskaloyannis","first_name":"C.","full_name":"Daskaloyannis, C."}]}