Linearization of Systems of Nonlinear Diffusion Equations  

作　　者：康静 屈长征 

机构地区：[1]Center for Nonlinear Studies, Northwest University, Xi'an 710069 [2]Department of Mathematics, Northwest University, Xi'an 710069

出　　处：《Chinese Physics Letters》2007年第9期2467-2470,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10671156, and the Programme for New Century Excellent Talents in University （NCET-04-0968）.

摘　　要：We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transformations of their auxiliary systems are used to identify the systems that can be linearized. We also provide several examples of systems with two-component equations, and show how to linearize them by nonlocal mappings.We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transformations of their auxiliary systems are used to identify the systems that can be linearized. We also provide several examples of systems with two-component equations, and show how to linearize them by nonlocal mappings.

关 键 词：POTENTIAL SYMMETRIES CONVECTION EQUATIONS COUPLED DIFFUSION CLASSIFICATION 

分 类 号：O41[理学—理论物理]