广义KdV-Burgers方程的势对称和不变解

摘要

In this paper, the symmetries of generalized KdV - Burgers equation with different coefficients are discussed with the help of Wu′s method in differential forms. And new potential symmetries are obtained. Furthermore, the corresponding invariant solutions can be obtained by using the above symmetries. The solutions have are of great importance to further researching the physical phenomena described by generalized KdV -Burgers equation.%　　用微分形式的吴方法讨论了广义KdV-Burgers 方程不同系数情况下的势对称，并且利用这些对称求得了相应的不变解，这些解对进一步研究广义 KdV - Burgers 方程所描述的物理现象具有重要意义。