Modulational instability and formation of a nonlinear oscillatory structure in a "focusing" medium

Research output: Contribution to journalArticlepeer-review


  • G. A. El'
  • A. V. Gurevich
  • V. V. Khodorovskiǐ
  • A. L. Krylov

External departments

  • RAS - Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation
  • RAS - P.N. Lebedev Physics Institute
  • RAS - United Schmidt Institute of Physics of the Earth


Original languageEnglish
Pages (from-to)357-361
Number of pages5
JournalPhysics Letters A
Issue number4-5
Publication statusPublished - 21 Jun 1993
Externally publishedYes
Publication type

Research output: Contribution to journalArticlepeer-review


The self-similar decay of the uniform envelope of an unstable wave described by the "focusing" nonlinear Schrödinger equation is studied. The exact analytic solution of the appropriate elliptic Whitham averaged system is obtained.