A quantitative approach to soliton instability Academic Article uri icon


  • We present an approach for instabilities of solitons that is based on the spectrum of a fourth- order linearized operator. Unlike the standard approach which is based on the slope (Vakhitov–Kolokolov) condition, this approach provides the quantitative value of the instability rate and the qualitative nature of the instability dynamics.

publication date

  • January 1, 2011