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math.AP2021★ 3 cited
On the analyticity of the nonlinear Fourier transform of the Benjamin-Ono equation on
P. Gérard, T. Kappeler, P. Topalov
We prove that the nonlinear Fourier transform of the Benjamin-Ono equation on , also referred to as Birkhoff map, is a real analytic diffeomorphism from the scale of So…
math.AP2021
On the Benjamin-Ono equation on and its periodic and quasiperiodic solutions
Patrick Gérard, Thomas Kappeler, Petar Topalov
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 quasipe…