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Symmetries and Similarity Reductions

時間:2023-04-29 09:52:25 數(shù)理化學論文 我要投稿
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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(guān)鍵詞: inverse of recursion operator   diffusion equation   similarity reduction  

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