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Macroscopic pulse evolution for a nonlinear oscillator chain

  1. Johannes Giannoulis,
  2. Alexander Mielke

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410251

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PAMM

PAMM

Volume 4, Issue 1, pages 540–541, December 2004

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How to Cite

Giannoulis, J. and Mielke, A. (2004), Macroscopic pulse evolution for a nonlinear oscillator chain. Proc. Appl. Math. Mech., 4: 540–541. doi: 10.1002/pamm.200410251

Author Information

  1. Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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Abstract

We are interested in the macroscopic evolution of the modulation of a pulse which captures dispersive effects in a nonlinear discrete model. In the weakly nonlinear setting the associated modulation equation turns out to be the nonlinear Schrödinger equation. We focus on the mathematical justification of this macroscopic limit. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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