摘要
对于一类KdV方程的孤子解和一类KdVBurgers方程的行波解,利用直接扰动法证明了它们具有条件稳定性,即解的稳定性敏感的依赖于方程的参数和初始条件,从而推广和修正了近期文献中关于这些解不稳定的结论.
AbstractFor a general KdV soliton solution and a general KdV Burgers traveling wave solution,the direct perturbation method is used to construct their general perturbed corrections.Theoretical analysis reveals that the solution possesses conditional stability,namely,their stability depends sensitively on the physical parameters and initial conditions of the corresponding system.The results have extended and corrected some assertions of instability in the recent articles.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1998年第9期1409-1415,共7页
Acta Physica Sinica
基金
国家自然科学基金