It is shown that a large subset of initial data with finite energy (L 2 norm) evolves nearly linearly in nonlinear Schrödinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, semiclassical or weakly linear solutions.
|Original language||English (US)|
|Number of pages||19|
|Journal||Communications in Mathematical Physics|
|State||Published - Aug 2008|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics