TY - ELEC
AU - Thomas Kappeler
PY - 2019
TI - On the integrability of the Benjamin-Ono equation with periodic boundary conditions
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0387060
ER - End of Reference