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arXiv · 1304.2619

An explicit formula for the cubic Szeg\"o equation

Patrick Gérard·Sandrine Grellier
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Abstract

We derive an explicit formula for the general solution of the cubic Szeg\"o 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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Patrick Gérard, Sandrine Grellier. 2013-04-09. An explicit formula for the cubic Szeg\"o equation. https://arxiv.org/abs/1304.2619

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