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A scalar Riemann–Hilbert problem on the torus: applications to the KdV equation

We take a closer look at the Riemann–Hilbert problem associated to one-gap solutions of the Korteweg–de Vries equation. To gain more insight, we reformulate it as a scalar Riemann–Hilbert problem on the torus. This enables us to derive deductively the model vector-valued and singular matrix-valued s...

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Detalles Bibliográficos
Autores principales: Piorkowski, Mateusz, Teschl, Gerald
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9395479/
https://www.ncbi.nlm.nih.gov/pubmed/36035310
http://dx.doi.org/10.1007/s13324-022-00715-4