An explicit formula for the cubic Szegö equation
By P. Gérard, Sandrine Grellier. 2013
65 citations recorded by the source corpus.
We derive an explicit formula for the general solution of the cubic Szego 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.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e2beadd1176b126f88df9127f466a27e2d50bbb1
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In Mathematical Physics
- Nicola Visciglia
- Benoit Pausader
- Zaher Hani
- Nikolay Tzvetkov
- Tadahiro Oh
- Qing Guo
- Nicolas Burq
- Terence Tao
In Statistical and Nonlinear Physics
- Nikolay Tzvetkov
- Nicola Visciglia
- Zaher Hani
- Benoit Pausader
- Terence Tao
- Carlos E. Kenig
- A. Alexandrou Himonas
- Soonsik Kwon
Citations in the corpus
- MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS (2013, background): “d in [15, 16] for linear Schrodinger equations with potential, [31, 47, 73] for nite time amplications of the initial Hs norm, [8, 11, 51] for NLS with suitably chosen non-local nonlinearities, and [40, 41, 42, 78, 90] for the zero-dispersion Szego and half-wave equations. Concerning the opposite qu”