Stability of solitary wave solutions of simultaneous nonlinear Schrödinger equations
Abstract
The stability of localized solitary wave solutions of simultaneous nonlinear Schrödinger equations describing different types of interacting waves in a plasma has been investigated. It is found that the stability depends on the nature and strength of the interaction potential between the two waves. The possible results of interactions between two colliding solitary waves have been discussed using the conservation laws.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- December 1982
- DOI:
- 10.1017/S0022377800000362
- Bibcode:
- 1982JPlPh..28..379B
- Keywords:
-
- Magnetohydrodynamic Stability;
- Plasma Waves;
- Schroedinger Equation;
- Solitary Waves;
- Wave Interaction;
- Conservation Laws;
- Ion Acoustic Waves;
- Lagrange Multipliers;
- Nonlinear Equations;
- Plasma Physics