Non-existence of internal mode for small solitary waves of the 1D Zakharov system
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912981102624768 |
|---|---|
| author | Martel, Yvan Rialland, Guillaume |
| author_facet | Martel, Yvan Rialland, Guillaume |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of internal mode for small solitary waves of the 1D Zakharov system Martel, Yvan Rialland, Guillaume Analysis of PDEs 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. |
| title | Non-existence of internal mode for small solitary waves of the 1D Zakharov system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.01116 |