CONDITIONAL SYMMETRY GROUPS OF (n+1)-DIMENSIONAL NONLINEAR DIFFUSION EQUATIONS WITH SOURCE TERM

摘要：

In this paper, we study a class of (n+1)-dimensional nonlinear diffusion equations with source term. The method used is the conditional Lie B(a)icklund symmetry method.We will show that the equations may admit conditional Lie B(a)cklund symmetries with the second-order characteristic for certain coefficient functions. As a consequence, exact solutions and symmetry reductions to finite-dimensional systems of the resulting equations are obtained.

关键词： Nonlinear diffusion equations Source term Conditional symmetry groups Finite-dimensional systems

作者: YAOJUN YE SONGYU WANG LINA JI

作者单位: School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, P.R.China Department of Information Computational Science, Henan Agricultural University, Zhengzhou, 450002, P

会议类型: 国际会议

会议名称: The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)

会议地点: 大连

会议语种:英文

页码: 90-99

在线出版日期: 2008-12-18（万方平台首次上网日期，不代表论文的发表时间）