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On the Benjamin-Ono equation on T and its periodic and quasiperiodic solutions

Gérard, Patrick; Kappeler, Thomas; Topalov, Petar (2022). On the Benjamin-Ono equation on T and its periodic and quasiperiodic solutions. Journal of Spectral Theory, 12(1):169-193.

Abstract

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-infinity-smooth.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics
Physical Sciences > Geometry and Topology
Uncontrolled Keywords:Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics ; Benjamin-Ono equation, periodic solutions, quasiperiodic solutions, action to frequency map ; CONSERVATION-LAWS, WAVE, TRANSFORM, L-2
Language:English
Date:24 March 2022
Deposited On:04 Aug 2022 16:17
Last Modified:19 Mar 2025 04:31
Publisher:EMS Press
ISSN:1664-039X
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.4171/JST/398
Other Identification Number:MR4404811
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