Quasi-periodic solutions in a nonlinear Schrödinger equation
By Jiansheng Geng, Y. Yi. 2007
80 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/49d2388278df5dd8d3f5921ffd6b50ce10c361f5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- Michela Procesi
- Jiangong You
- Xindong Xu
- C. Procesi
- Jiansheng Geng
- Massimiliano Berti
- P. Bolle
- Riccardo Montalto
In Numerical Analysis
- Michela Procesi
- C. Procesi
- Xindong Xu
- Jiansheng Geng
- Jiangong You
- Massimiliano Berti
- P. Bolle
- Luca Biasco
In Statistical and Nonlinear Physics
- Michela Procesi
- Massimiliano Berti
- C. Procesi
- Xindong Xu
- Jiansheng Geng
- Jiangong You
- P. Bolle
- Luca Biasco
Citations in the corpus
- A KAM algorithm for the resonant non-linear Schrödinger equation (2012, background): “In the context of KAM theory and normal form, we mention the result of [9] for the NLS in dimension one with the nonlinearity |u|(4)u.”
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation (2011, methodology): “There have been many remarkable results in KAM (Kolmogorov–Arnold–Moser) theory of Hamiltonian PDEs achieved either by methods from the finite dimensional KAM theory [1,8, 10,11,13–15,12,16–26,28], or by a Newtonian scheme developed by Craig, Wayne, Bourgain [4, 3,5,7,6,2,9].”