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Nonlinear Bloch waves |
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| Authors: | V. N. Serkin M. Matsumoto T. L. Belyaeva |
| Affiliation: | (1) Osaka University, Osaka 565-0871, Japan;(2) Moscow State University, Vorob’evy gory, Moscow, 119899, Russia;(3) Institute of General Physics, Russian Academy of Sciences, ul. Vavilova 39, Moscow, 117942, Russia;(4) Benemerita Universidad Autonoma de Puebla, 72001 Puebla, Mexico |
| Abstract: | The nonlinear Bloch theorem for the temporal and spatial Schrödinger solitons in dispersive and nonlinear periodic structures is proved. 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. |
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