Orbital stability of solitary waves for the generalized long-short wave resonance equations with a cubic-quintic strong nonlinear term

Abstract In this paper, we investigate the orbital stability of solitary waves for the following generalized long-short wave resonance equations of Hamiltonian form: 0.1 { i u t + u x x = α u v + γ | u | 2 u + δ | u | 4 u , v t + β | u | x 2 = 0 . $$ \textstyle\begin{cases} iu_{t}+u_{{xx}}=\alpha uv...

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Bibliographic Details
Main Authors: Xiaoxiao Zheng, Huafei Di, Xiaoming Peng
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02505-7