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One-dimensional modulation instability of wave packets in media with resonant dispersion

Author

Listed:
  • Rybak, S.A.
  • Zozulya, O.M.

Abstract

Modulation instability of small-amplitude quasimonochromatic wave packets in media containing compact oscillators is analysed in the one-dimensional case. Conservative media with quadratic nonlinearity and linear nondamped oscillators are considered. Frequency range of unstable wave-packet propagation is found. It is shown that instability results from resonant long-wave-short-wave interaction.

Suggested Citation

  • Rybak, S.A. & Zozulya, O.M., 1997. "One-dimensional modulation instability of wave packets in media with resonant dispersion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 128-132.
    • Handle: RePEc:eee:phsmap:v:241:y:1997:i:1:p:128-132
    DOI: 10.1016/S0378-4371(97)00071-X
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