UO - Université d'Orléans : UMR 7349 (Château de la Source - Avenue du Parc Floral - BP 6749 - 45067 Orléans cedex 2 - France)
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.
https://hal.archives-ouvertes.fr/hal-00809480 Contributor : Sandrine GrellierConnect in order to contact the contributor Submitted on : Tuesday, April 9, 2013 - 2:08:27 PM Last modification on : Tuesday, October 12, 2021 - 5:20:08 PM Long-term archiving on: : Monday, April 3, 2017 - 2:30:18 AM
Patrick Gérard, Sandrine Grellier. An explicit formula for the cubic Szegö equation. Transactions American Mathematical Society, American Mathematical Society, 2015, 367, pp.2979-2995. ⟨hal-00809480⟩