Lie symmetries and conserved quantities for a two-dimentional nonlinear diffusion equation of concentration  

作　　者：赵丽 傅景礼 陈本永 

机构地区：[1]Institute of Mathematical Physics,Zhejiang Sci-Tech University [2]Institute of Mechanical and Automation Control Engineering,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2010年第1期30-34,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055)

摘　　要：The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation ot concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained.The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation ot concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained.

关 键 词：Lie symmetry conserved quantity NONLINEAR diffusion equation of concentration 

分 类 号：O411[理学—理论物理]