本刊英文版Vol.27(2011),No.6论文摘要

<正>New Algebraic Approaches to Classical Boundary Layer Problems Xiao Ping XU Abstract Classical non-steady boundary layer equations are fundamental nonlinear partial differential equations in the boundary layer theory of fluid dynamics.In this paper,we introduce various schemes with multiple parameter functions to solve these equations and obtain many families of new explicit exact solutions with multiple parameter functions.Moreover,symmetry transformations are used to simplify our arguments.The technique of moving frame is applied in the three-dimensional case in order to capture the rotational properties of the fluid.In