Nonlinear interaction of high-frequency and low-frequency waves

V. E. Zakharov, A. M. Rubenchik

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


The interaction of high-frequency waves with low-frequency (acoustic) waves is investigated. The analysis is carried out in the Hamiltonian formalism in the interest of generality. The instability problem is investigated for the high-frequency wave. The general results obtained in the article are applied to the stability analysis of electromagnetic waves in plasmas and dielectrics. Wave propagation in weakly dispersive media is considered. It is shown that the waves are unstable. The possibility of self-focusing of the waves is studied.

Original languageEnglish (US)
Pages (from-to)669-681
Number of pages13
JournalJournal of Applied Mechanics and Technical Physics
Issue number5
StatePublished - Sep 1972

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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