The modulational instability of colinear waves
Abstract
A brief review is given of the modulational instability of a single wave. Some aspects of the modulational instability of two colinear waves are then studied. In general, the waves are modulationally unstable with a maximal growth rate which is larger than the modulational growth rate of either wave alone. Moreover, waves which are modulationally stable by themselves are often unstable in the other's presence. This is true for both copropagating and counterpropagating waves. An important property of an instability is whether it is absolute or convective in nature. The modulational instability of two equalamplitude copropagating waves is usually, but not always, convective. The modulational instability of two equalamplitude counterpropagating waves is always absolute. Some applications of current interest are discussed.
 Publication:

Physica Scripta Volume T
 Pub Date:
 January 1990
 DOI:
 10.1088/00318949/1990/T30/005
 Bibcode:
 1990PhST...30...31M
 Keywords:

 Magnetohydrodynamic Stability;
 Plasma Waves;
 Schroedinger Equation;
 Wave Interaction;
 Wave Propagation;
 Laser Beams;
 Nuclear Fuels;
 Phase Conjugation;
 Physics (General)