Nonlocal symmetries to systems of Nonlinear diffusion equations

作者：Qu Chang Zheng; Kang Jing

来源：Communications in Theoretical Physics, 2008, 49(1): 9-16.

• symmetry group
• system of nonlinear diffusion equation
• nonlocal symmetry

In this paper, we study potential symmetries to certain systems of nonlinear diffusion equations. Those systems 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.

• 出版日期2008-1-15
• 单位西北大学