运用CK直接约化法对一类描述方向上存在可变剪切流动的长波变系数Boussinesq方程进行相似约化,可以得到原方程的一些相似变换和相似解.在已有文献的基础上,用CK直接约化法进一步讨论了变系数Boussinesq方程的相似约化问题,得到了几种新的相似解.
The CK direct method is extended to reduce a variable-coefficient Boussinesq equation and five families of symmetry reductions are obtained. We also correct a few mistakes and study the equation further to get some other new symmetry solutions.