Non-existence of internal mode for small solitary waves of the 1D Zakharov system
Abstract
Abstract We prove that the linearised operator around any sufficiently small solitary wave of the one-dimensional Zakharov system has no internal mode. This spectral result, along with its proof, is expected to play a role in the study of the asymptotic stability of solitary waves.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Waves and Solitons
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 395
- Issue
- 3
- Publication date
- 23 May 2026
- Language
- EN