An explicit formula for the cubic Szeg\"o equation
Analysis of PDEs
2013-04-10 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.1304.2619,
title = {An explicit formula for the cubic Szeg\"o equation},
author = {Patrick Gérard and Sandrine Grellier},
journal= {arXiv preprint arXiv:1304.2619},
year = {2013}
}
Comments
18 pages