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arXiv · 2512.21824

Orbital stability of solitary waves for the Schr odinger-Boussinesq system

Yilong Ma·Yamin Xiao
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Abstract

This paper studies the orbital stability of solitary waves for the following Schr\"{o}dinger-Boussinesq system \begin{equation*} \begin{cases} { \begin{array}{ll} i\varepsilon_t+\varepsilon_{xx}=n\varepsilon+\gamma |\varepsilon|^2\varepsilon, \\ n_{tt}-n_{xx}+ \alpha n_{xxxx}-\beta(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}.

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Yilong Ma, Yamin Xiao. 2025-12-26. Orbital stability of solitary waves for the Schr odinger-Boussinesq system. https://arxiv.org/abs/2512.21824

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