KdV型方程孤波解与KdV-Burgers型方程行波解的稳定性

STABILITY OF SOLITARY WAVE FOR THE KdV TYPE EQUATIONAND TRAVELLING WAVE FOR THE KdV-BURGERS TYPE EQUATION

证明了KdV型议程的孤波解和KdV-Burgers型方程的行波解在李亚诺夫意义下是不是稳定的，从而修正了文献中的一些结论。

In this paper, it is shown that solitary wave for the KdV type equation and travelling wave for the KdV-Burgers type equation are unstable in the Liapunov sense . Some incorrect conclusions in literatures are corrected.