On the Benjamin-Ono equation on \(\mathbb{T}\) and its periodic and quasiperiodic solutions

In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not \(C^\infty\)-smooth.

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Veröffentlicht in:arXiv.org 2021-03
Hauptverfasser: Gérard, Patrick, Kappeler, Thomas, Topalov, Petar
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not \(C^\infty\)-smooth.
ISSN:2331-8422