广义KdV-Burgers方程的势对称和不变解  

Potential symmetries and invariant solutions of generalized KdV-Burgers equation

作　　者：朱永平[1] 吉飞宇[2] 陈晓艳[1] 

机构地区：[1]西北大学数学系,陕西西安710127 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《纯粹数学与应用数学》2013年第2期164-171,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671156)

摘　　要：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.In this paper, the symmetries of generalized KdV - Burgers equation with different coefficients axe discussed with the help of Wus 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.

关 键 词：KdV—Burgers方程 微分形式的吴方法 势对称 不变解 

分 类 号：O175.2[理学—数学]