An explicit formula for the cubic Szegö equation

2013/04/09 by Gérard, Patrick, Grellier, Sandrine · 1 citation
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.2619

Abstract

We derive an explicit formula for the general solution of the cubic Szegö 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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