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Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems

Article type: Research Article

Authors: Schneider, Guido | Uecker, Hannes

Affiliations: Mathematik VI, Universität Bayreuth, Germany E‐mail: {guido.schneider, hannes.uecker}@uni‐bayreuth.de

Note: [] Corresponding author.

Abstract: Nonlinear coupled mode equations occur as universal modulation equations in various circumstances. It is the purpose of this paper to prove exact estimates between the approximations obtained via the nonlinear coupled mode equations and solutions of the original parabolic or hyperbolic systems. The models which we consider contain all difficulties which have to be overcome in the general case.

Journal: Asymptotic Analysis, vol. 28, no. 2, pp. 163-180, 2001

Published: 2001
Price: EUR 27.50
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