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An explicit formula for the Benjamin–Ono equation

Patrick Gérard

Vol. 5 (2023), No. 3, 593–603
Abstract

We establish an explicit formula for the general solution of the Benjamin–Ono equation on the torus and on the line.

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Keywords
Benjamin–Ono equation, explicit formula, Lax pair, Toeplitz operators
Mathematical Subject Classification
Primary: 37K15
Secondary: 47B35
Milestones
Received: 20 December 2022
Revised: 31 January 2023
Accepted: 14 February 2023
Published: 2 November 2023
Authors
Patrick Gérard
Laboratoire de Mathematiques D’Orsay
Université Paris-Saclay
CNRS
Orsay
France