Orbital stability of solitary wave solutions of the generalized Benjamin equation

Authors

Leijin Cao
Binhua Feng
Zhaosheng Feng, The University of Texas Rio Grande Valley
Yichun Mo

Document Type

Article

Publication Date

12-10-2025

Abstract

In this paper, we study the existence and stability of solitary wave solutions for the generalized Benjamin equation in both the L2-critical and L2-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.

Comments

© The Author(s), 2025. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.  

Recommended Citation

Cao, Leijin, Binhua Feng, Zhaosheng Feng, and Yichun Mo. "Orbital stability of solitary wave solutions of the generalized Benjamin equation." Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025): 1-29. https://doi.org/10.1017/prm.2025.10104

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics

DOI

10.1017/prm.2025.10104