Title	On the integrability of the Benjamin-Ono equation with periodic boundary conditions
Creator	Kappeler, Thomas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-06-14T11:51
Description	In this talk I report on joint work with Patrick GÃ Â©rard concerning the construction of global Birkhoff coordinates for the Benjamin-Ono equation. In these coordinates this equation can be solved by quadrature, meaning that it is an integrable (pseudo)differential equation in the strongest possible sense. The construction is based on the Lax pair formulation of this equation. I will present spectral properties of the Lax operator, discuss a generating function of the Benjamin-Ono hierarchy, which allows to establish various trace formulas, and introduce the Birkhoff coordinates. Furthermore, I will provide a characterization of finite gap solutions.
Extent	45.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Zurich
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-12-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0387060
URI	http://hdl.handle.net/2429/72707
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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On the integrability of the Benjamin-Ono equation with periodic boundary conditions Kappeler, Thomas

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