Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2512.21824 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912789355823104 |
|---|---|
| author | Ma, Yilong Xiao, Yamin |
| author_facet | Ma, Yilong Xiao, Yamin |
| contents | This paper studies the orbital stability of solitary waves for the following Schrödinger-Boussinesq system \begin{equation*} \begin{cases} { \begin{array}{ll} i\varepsilon_t+\varepsilon_{xx}=n\varepsilon+γ|\varepsilon|^2\varepsilon, \\ n_{tt}-n_{xx}+ αn_{xxxx}-β(n^2)_{xx}=|\varepsilon|^2_{xx},
\end{array} } (t,x)\in \mathbb{R}^2. \end{cases} \end{equation*} By applying the abstract results and detailed spectral analysis, we obtain the orbital stability of solitary waves. The result can be regarded as an extension of the results of \cite{ F-P,H,W}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21824 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbital stability of solitary waves for the Schr odinger-Boussinesq system Ma, Yilong Xiao, Yamin Analysis of PDEs This paper studies the orbital stability of solitary waves for the following Schrödinger-Boussinesq system \begin{equation*} \begin{cases} { \begin{array}{ll} i\varepsilon_t+\varepsilon_{xx}=n\varepsilon+γ|\varepsilon|^2\varepsilon, \\ n_{tt}-n_{xx}+ αn_{xxxx}-β(n^2)_{xx}=|\varepsilon|^2_{xx}, \end{array} } (t,x)\in \mathbb{R}^2. \end{cases} \end{equation*} By applying the abstract results and detailed spectral analysis, we obtain the orbital stability of solitary waves. The result can be regarded as an extension of the results of \cite{ F-P,H,W}. |
| title | Orbital stability of solitary waves for the Schr odinger-Boussinesq system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.21824 |