M. Burak Erdogan, Vadim Zharnitsky
Published 2007-05-28, updated 2008-02-15Version 2
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.
Periodic boundary conditions on staggered grids: Uniqueness of variables at cell edges/faces
Boundary conditions and universal finite-size scaling for the hierarchical $|\varphi|^4$ model in dimensions 4 and higher
On the transfer matrix of the supersymmetric eight-vertex model. I. Periodic boundary conditions
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