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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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References

  • [1]
    J. Giannoulis and A. Mielke, The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities, Nonlinearity, 17, 551–565 (2004)
  • [2]
    J. Giannoulis and A. Mielke, Macroscopic dynamics of an oscillator chain, described by the nonlinear Schrödinger equation, AMSMSP-Preprint 117 (2004)
  • [3]
    P. Kirrmann, G. Schneider, and A. Mielke, The validity of modulation equations for extended systems with cubic nonlinearities, Proc. Roy. Soc. Edinburgh Sect. A, 122, 85–91 (1992)
  • [4]
    G. Schneider, Justification of modulation equations for hyperbolic systems via normal forms, NoDEA Nonlinear Differential Equations Appl., 5 (1), 69–82 (1998)
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