Symmetries and Similarity Reductions of Nonlinear Diffusion Equation
The inverse recursion operator, three new sets of symmetries, and infinite-dimensional Lie algebras for the nonlinear diffusion equation are given. Some nonlocal symmetries related to eigenvectors of the recursion operator Ф with the eigenvalue λi are also obtained with the help of the recursion operator Фi = Ф - λi. Using a part of these symmetries we get twelve types of nontrivial new similarity reduction.
作 者： LI Hui-Jun RUAN Hang-Yu 作者单位： Department of Physics, Ningbo University, Ningbo 315211, China 刊 名： 理论物理通讯（英文版） ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(8) 分类号： O4 关键词： inverse of recursion operator diffusion equation similarity reduction