Modulational instability in bulk dispersive quadratically nonlinear media

Ziad H. Musslimani, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review


We analyze stability of continuous wave (cw) solutions to the second-harmonic-generation equations in a multidimensional dispersive medium, and demonstrate that they are always unstable. We also consider the modulational stability in a more general three-wave system, and demonstrate that, at least in some cases, its multidimensional cw solutions may be stable.

Original languageEnglish
Pages (from-to)235-243
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Issue number1-4
StatePublished - 1998


  • Resonant three-wave interactions
  • Second-harmonic generation


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