南华大学学报（自然科学版）2023，Vol.37Issue(5)：87-91,5.DOI:10.19431/j.cnki.1673-0062.2023.05.013
组合KdV方程孤立波解的轨道稳定性
Orbital Stability of Solitary Wave Solutions to the Compound KdV Equations
王琳 1刘自强 1欧阳自根 1刘耿华1
作者信息
- 1. 湖南交通工程学院 基础部,湖南 衡阳 421001
- 折叠
摘要
Abstract
The compound KdV equation is applied in many fields of physics,such as plas-ma magnetic current wave,ion acoustic wave and so on.It is necessary to characterize the stability of particles during their propagation.The study of the orbital stability of solitary wave solutions with non-zero asymptotic values is transformed into the study of orbital sta-bility of solitary wave solutions with zero asymptotic values through translation transforma-tion,and the determination theorem of stability is given.The orbital stability theory pro-posed by Grillakis-Shatah-Strauss and the spectral analysis theory are used to obtain the or-bital stability conclusions of the compound KdV equations for several solitary wave solu-tions.关键词
组合KdV方程/非零渐近值/轨道稳定性/孤立波Key words
compound KdV equations/non-zero asymptotic values/orbital stability/solitary wave分类
数理科学引用本文复制引用
王琳,刘自强,欧阳自根,刘耿华..组合KdV方程孤立波解的轨道稳定性[J].南华大学学报（自然科学版）,2023,37(5):87-91,5.
