New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023).
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Polychrou, G.;
Papageorgiou, EfthymiaLibreCat;
Fotiadis, A.;
Daskaloyannis, C.
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<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>
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Revista Matemática Complutense
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Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. Published online 2023. doi:10.1007/s13163-023-00476-z
Polychrou, G., Papageorgiou, E., Fotiadis, A., & Daskaloyannis, C. (2023). New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. https://doi.org/10.1007/s13163-023-00476-z
@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation}, DOI={10.1007/s13163-023-00476-z}, 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} }
Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, 2023. https://doi.org/10.1007/s13163-023-00476-z.
G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” Revista Matemática Complutense, 2023, doi: 10.1007/s13163-023-00476-z.
Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, Springer Science and Business Media LLC, 2023, doi:10.1007/s13163-023-00476-z.
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