Propagation and interaction of asymptotic waves in ideal magnetofluiddynamics
Abstract
Nonlinear three-wave coupling coefficients are derived by a systematic application of nonlinear high frequency geometric optics to the equations of ideal magnetofluiddynamics. These coefficients concern all the possible interactions between Alfvén waves and the two kinds of magnetoacoustic waves: the fast magnetosonic and the slow ones. The propagation of off-resonance waves is also treated and critical times for two specific initial data are found.
- Publication:
-
Zeitschrift Angewandte Mathematik und Physik
- Pub Date:
- November 1989
- DOI:
- 10.1007/BF00945810
- Bibcode:
- 1989ZaMP...40..899C
- Keywords:
-
- Magnetohydrodynamic Waves;
- Plasma Heating;
- Plasma Interactions;
- Wave Propagation;
- Astrophysics;
- Coupling Coefficients;
- Geometrical Optics;
- Magnetohydrodynamic Stability;
- Plasma Resonance;
- Wave Interaction;
- Plasma Physics;
- Initial Data;
- Mathematical Method;
- Systematic Application;
- Critical Time;
- Coupling Coefficient