Abstract

In this paper, we study the existence and stability of solitary wave solutions for the generalized Benjamin equation in both the $L^2$ -critical and $L^2$ -supercritical cases by applying the variational methods and the non-homogeneous Gagliardo–Nirenberg inequality. Our main results generalize and complement the existing results in the literature.

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Year
2025
Type
article
Pages
1-29
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0
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Leijin Cao, Binhua Feng, Zhaosheng Feng et al. (2025). Orbital stability of solitary wave solutions of the generalized Benjamin equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics , 1-29. https://doi.org/10.1017/prm.2025.10104

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DOI
10.1017/prm.2025.10104