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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 73, Issue 2, Pages 64–67
(Mi jetpl4292)
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This article is cited in 3 scientific papers (total in 3 papers)
NONLINEAR DYNAMICS
Nonlinear bloch waves
V. N. Serkinab, M. Matsumotoc, T. L. Belyaevad a A. M. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow
b Benemérita Universidad Autónoma de Puebla
c Osaka University
d M. V. Lomonosov Moscow State University
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.
Received: 02.11.2000
Citation:
V. N. Serkin, M. Matsumoto, T. L. Belyaeva, “Nonlinear bloch waves”, Pis'ma v Zh. Èksper. Teoret. Fiz., 73:2 (2001), 64–67; JETP Letters, 73:2 (2001), 59–62
Linking options:
https://www.mathnet.ru/eng/jetpl4292 https://www.mathnet.ru/eng/jetpl/v73/i2/p64
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