This article is cited in 3 papers

NONLINEAR DYNAMICS

Nonlinear bloch waves

V. N. Serkin^ab, M. Matsumoto^c, T. L. Belyaeva<sup>d

a</sup> 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.

PACS: 05.45.Yv, 42.65.-k, 42.81.Dp

Received: 02.11.2000

Language: English

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

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