%0 Journal Article
%T Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration<br>
%A Zhao Li
%A Fu Jing-Li
%A Chen Ben-Yong
%A <br>
%J 中国物理 B
%D 2010
%I 
%X The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation of 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.
%K Lie symmetry
%K conserved quantity
%K nonlinear
%K diffusion equation of concentration<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=BFA3FD30D9F20A29A2C5FFD4674BA176&yid=140ECF96957D60B2&vid=2A8D03AD8076A2E3&iid=CA4FD0336C81A37A&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=32