Abstract
The Euler-Poisson equations for a cold, collisionless plasma support ion-acoustic solitary waves. We prove that these waves are spectrally stable at low amplitude in one space-dimension and present numerical evidence that they destabilize at finite amplitude before they develop singularities.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 13-30 |
| Number of pages | 18 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 170 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 15 2002 |
Bibliographical note
Funding Information:The authors gratefully acknowledge financial support by DAAD/Procope, Nr. D/0031082 and F/03132UD. AS wishes to thank the Département de Mathématiques Appliquées, Université Bordeaux 1, for financial support and for providing a fruitful, stimulating atmosphere.
Keywords
- Ion-acoustic plasma
- Solitary waves
- Stability
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