Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions

Details Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions

2007-05-28

arxiv.org/abs/0705.4073v2

Physics

Mathematical Physics

19 pages

Scientific paper

It is shown that a large subset of initial data with finite energy ($L^2$
norm)evolves nearly linearly in nonlinear Schr\" odinger equation with periodic
boundary conditions. These new solutions are not perturbations of the known
ones such as solitons, semiclassical or weakly linear solutions.

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