摘要
In this paper, we study potential symmetries to certain systems of nonlinear diffusion equations. Thosesystems have physical applications in soil science, mathematical biology, and invariant curve flows in R^3. Lie point symmetries of the potential system, which cannot be projected to vector fields of the given dependent and independent variables, yield potential symmetries. The class of the system that admits potential symmetries is expanded.
基金
The project supported by National Natural Science Foundation of China under Grant No.10671156
the Program for New CenturyExcellent Talents in Universities under Grant No.NCET-04-0968
