An explicit formula for the cubic Szegő equation

Gérard, Patrick; Grellier, Sandrine

doi:10.1090/S0002-9947-2014-06310-1

An explicit formula for the cubic Szegő equation
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by Patrick Gérard and Sandrine Grellier PDF

Trans. Amer. Math. Soc. 367 (2015), 2979-2995 Request permission

Abstract:

We derive an explicit formula for the general solution of the cubic Szegő equation and of the evolution equation of the corresponding hierarchy. As an application, we prove that all the solutions corresponding to finite rank Hankel operators are quasiperiodic.

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