广义KdV孤子解和广义KdV-Burgers行波解的条件稳定性

CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV BURGERS TRAVELING WAVE SOLUTION 

对于一类ＫｄＶ方程的孤子解和一类ＫｄＶＢｕｒｇｅｒｓ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．

AbstractFor 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.