动脉力学中变系数Gardner方程的Lie对称性分析和精确解
Lie symmetry analysis and exact solutions for a variable coefficient Gardner equation arising in arterial mechanics
摘要：
本文考虑变系数Gardner方程。利用经典的对称性分析方法，得到了该方程的对称性。然后，利用广义Jacobi椭圆函数展开法求解约化常微分方程。所考虑的偏微分方程的一些新的精确解。
英文摘要：
In this paper, a variable-coefficient Gardner equation is considered. By using the classical symmetry analysis method symmetries for this equation are obtained. Then, the generalized Jacobi elliptic function expansion method is used to solve the reduced ODE. Some new exact solutions for the considered PDE are obtained.
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