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Pis'ma v Zh. Èksper. Teoret. Fiz., 2001, Volume 73, Issue 2, Pages 64–67 (Mi jetpl4292)  

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.

Full text: PDF file (276 kB)

English version:
Journal of Experimental and Theoretical Physics Letters, 2001, 73:2, 59–62

PACS: 05.45.Yv, 42.65.-k, 42.81.Dp
Received: 02.11.2000
Language:

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

Citation in format AMSBIB
\Bibitem{SerMatBel01}
\by V.~N.~Serkin, M.~Matsumoto, T.~L.~Belyaeva
\paper Nonlinear bloch waves
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2001
\vol 73
\issue 2
\pages 64--67
\mathnet{http://mi.mathnet.ru/jetpl4292}
\transl
\jour JETP Letters
\yr 2001
\vol 73
\issue 2
\pages 59--62
\crossref{https://doi.org/10.1134/1.1358419}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0009882143}


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  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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