Symmetries and Similarity Reductions

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  

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