Variational approach to the modulational instability

Z. Rapti, P. G. Kevrekidis, A. Smerzi, A. R. Bishop

Research output: Contribution to journalArticlepeer-review

Abstract

The modulational instability (MI) of plane waves in terms of nonlinear Shcrödinger equation was discussed using time-dependent variational approach. The ordinary differential equations (ODE) for time evolution of amplitude and phase of modulational perturbations was derived within this framework. This dynamic system approach was used to derive Euler-Lagrange equations for time-dependent parameters which examined their stability for different wave numbers of perturbation. The applications of MI in optics and Bose-Einstein condensation were also observed where coefficients of equation were time dependent.

Original languageEnglish (US)
Article number017601
Pages (from-to)176011-176014
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number1 2
StatePublished - Jan 1 2004
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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