GdKP方程的最优系统和群不变解

摘要

In this paper, the symmetries, similarity reductions and optimal system for the GdKP equation are studied by the classical Lie symmetry method. Furthermore, some group-invariant solutions for the dKP equation are obtained.%利用经典李群方法对GdKP 方程进行Lie 对称分析，求得该方程的Lie 对称代数，及其相应的约化方程和最优系统。更进一步，作者求出了dKP方程的部分群不变解。该方法在物理中有广泛的应用。