论文标题
部分微分方程的经典和非古典对称性及其应用之间的某些连接
Some connections between classical and nonclassical symmetries of a partial differential equation and their applications
论文作者
论文摘要
偏微分方程（PDE）的经典和非古典对称性之间的某些连接在确定两个对称的方程式方面给出了。这些连接提供了确定PDE的非经典对称性的其他信息，并使求解非线性确定方程式的系统更容易。例如，为一类广义汉堡方程式展示了新的非经典对称性，并给出了KDV型方程。
Some connections between classical and nonclassical symmetries of a partial differential equation (PDE) are given in terms of determining equations of the two symmetries. These connections provide additional information for determining nonclassical symmetry of a PDE and make it easier to solve the system of nonlinear determining equations. As example, new nonclassical symmetries are exhibited for a class of generalized Burgers equation and KdV-type equations are given.
