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 作者單位： Department of Physics, Ningbo University, Ningbo 315211, China 刊 名： 理論物理通訊（英文版） ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(8) 分類號： O4 關鍵詞： inverse of recursion operator diffusion equation similarity reduction【Symmetries and Similarity Reductions】相關文章：
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