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VOLUME 73 (2001) | ISSUE 2 | PAGE 64

Nonlinear bloch waves
PACS: 05.45.Yv, 42.65.-k, 42.81.Dp
Abstract
The nonlinear Bloch theorem for the temporal and spatial Schrödinger solitons in dispersive and nonlinear periodic structures has been proven. It is shown that bright and dark solitary nonlinear Bloch waves exist only under certain conditions and that the parameter functions describing dispersion and nonlinearity periodic inhomogeneities cannot be chosen independently.