One Optimal System

swMATH ID: 24718
Software Authors: Zhang, Lin; Han, Zhong; Chen, Yong
Description: A direct algorithm Maple package of one-dimensional optimal system for group invariant solutions. To construct the one-dimensional optimal system of finite dimensional Lie algebra automatically, we develop a new Maple package One Optimal System. Meanwhile, we propose a new method to calculate the adjoint transformation matrix and find all the invariants of Lie algebra in spite of Killing form checking possible constraints of each classification. Besides, a new conception called invariance set is raised. Moreover, this Maple package is proved to be more efficiency and precise than before by applying it to some classic examples.
Homepage: http://iopscience.iop.org/article/10.1088/0253-6102/69/1/14/meta
Dependencies: Maple
Keywords: symbolic computation; mathematics mechanization; direct algorithm; optimal system
Related Software: ONEOptimal; LIE; BIGLIE; Maple
Cited in: 3 Publications

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