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Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - II. Conic geometry 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 763-809
作者:  Li, HB;  Wu, YH
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
bracket algebra  Cayley algebra  automated theorem proving  projective conic geometry  
Automated short proof generation for projective geometric theorems with Cayley and bracket algebras - I. Incidence geometry 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2003, 卷号: 36, 期号: 5, 页码: 717-762
作者:  Li, HB;  Wu, YH
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Cayley algebra  bracket algebra  automated theorem proving  projective incidence geometry  
An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system 期刊论文
CHINESE PHYSICS, 2003, 卷号: 12, 期号: 11, 页码: 1194-1201
作者:  Zhang, YF
收藏  |  浏览/下载:141/0  |  提交时间:2018/07/30
loop algebra  integrable system  Hamiltonian structure  constrained flow  
Representation theory of the system quiver 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2003, 卷号: 46, 期号: 6, 页码: 789-803
作者:  Li, LC;  Zhang, YB
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
system quiver  three-point algebra  representation type  
A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure 期刊论文
PHYSICS LETTERS A, 2003, 卷号: 317, 期号: 3-4, 页码: 280-286
作者:  Zhang, YF
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
loop algebra  integrable system  Hamiltonian structure  
A type of expanding integrable system for NLS-mKdV hierarchy 期刊论文
ACTA PHYSICA SINICA, 2003, 卷号: 52, 期号: 9, 页码: 2109-2113
作者:  Zhang, YF;  Yan, QY
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
loop algebra  integrable system  isospectral problem  
Two expanding forms of a Lie algebra and their application 期刊论文
CHINESE PHYSICS, 2003, 卷号: 12, 期号: 6, 页码: 581-585
作者:  Yan, QY;  Zhang, YF;  Wei, XP
收藏  |  浏览/下载:138/0  |  提交时间:2018/07/30
loop algebra  integrable coupling  Tu scheme  AKNS hierarchy  
Two types of new Lie algebras and corresponding hierarchies of evolution equations 期刊论文
PHYSICS LETTERS A, 2003, 卷号: 310, 期号: 1, 页码: 19-24
作者:  Zhang, YF
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
lie algebra  loop algebra  integrable system  
A family of S-mKdV hierarchy of equations and its expanding integrable models 期刊论文
ACTA PHYSICA SINICA, 2003, 卷号: 52, 期号: 1, 页码: 5-11
作者:  Zhang, YF;  Yan, QY;  Zhang, HQ
收藏  |  浏览/下载:117/0  |  提交时间:2018/07/30
loop algebra  Hamiltonian structure  expanding integrable model  Schrodinger equation  mKdV equation