Orbital stability of solitary waves for the Schr odinger-Boussinesq system (2512.21824v1)

Abstract: 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}.