Wave action and critical surfaces for hydromagnetic-inertial-gravity waves

M. El Sawi*, I. A. Eltayeb

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The propagation properties of hydromagnetic-inertial-gravity waves riding a basic state which varies slowly in two independent coordinates are examined in the Boussinesq approximation. The amplitudes of the waves are governed by an equation representing conservation of wave action. A study of the dispersion relation shows that the existence of critical surfaces (i.e. the analogue of critical levels in two-dimensions) is governed by nonlinear partial differential equations for the phase function of the waves. Although a solution of these equations is not readily obtainable, the geometric representation of the dispersion relation indicates the existence of critical surfaces for certain types of basic state. These are composed of magnetic field lines and, in contrast to the non-magnetic case, they are associated with energy propagation.

Original languageEnglish
Pages (from-to)187-202
Number of pages16
JournalQuarterly Journal of Mechanics and Applied Mathematics
Issue number2
Publication statusPublished - May 1981
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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