ONEOptimal： A Maple Package for Generating One-Dimensional Optimal System of Finite Dimensional Lie Algebra

We present a Maple computer algebra package, ONEOptimal, which can calculate one-dimensional optimal system of finite dimensional Lie algebra for nonlinear equations automatically based on Olver＇s theory. The core of this theory is viewing the Killing form of the Lie algebra as an invariant for the...

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Bibliographic Details
Published in:Communications in theoretical physics 2014-02, Vol.61 (2), p.160-170
Main Author: 苗倩 胡晓瑞 陈勇
Format: Article
Language:English
Subjects:
Computational efficiency
Invariants
Killing型
Lie groups
Mathematical analysis
Nonlinear equations
Optimization
Packages
Representations
一维
最优系统
有限维
李代数
枫木
计算机代数
非线性方程
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Summary:We present a Maple computer algebra package, ONEOptimal, which can calculate one-dimensional optimal system of finite dimensional Lie algebra for nonlinear equations automatically based on Olver＇s theory. The core of this theory is viewing the Killing form of the Lie algebra as an invariant for the adjoint representation. Some examples are given to demonstrate the validity and efficiency of the program.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/61/2/03