An explicit formula for the cubic Szeg\"o equation

Patrick G\'erard (LM-Orsay); Sandrine Grellier (MAPMO)

An explicit formula for the cubic Szeg\"o equation

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arxiv 1304.2619 v1 pith:QVFQCNTM submitted 2013-04-09 math.AP math.CV

An explicit formula for the cubic Szeg\"o equation

Patrick G\'erard (LM-Orsay) , Sandrine Grellier (MAPMO) This is my paper

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keywords equationcorrespondingcubicexplicitformulaszegapplicationderive

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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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A superintegrable quantum field theory
nlin.SI 2025-11 unverdicted novelty 6.0

The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.