一些直接代数方法的几何解释及应用

Geometrical explanation and application of some algebraic direct methods

基于微分方程多边形的概念,就一些直接代数方法给出了几何解释,同时将这种解释推广到方程组的情形,最后以变形Boussinesq方程组为例说明了该几何解释的合理性.

Based on the polygons of the differential equation, geometrical explanation for some algebraic direct methods is given, and its generalization of differential system is presented. Finally, the validity of this explanation is illustrated with variant Boussinesq system.