| High—Dimensional Integrable Models with Infinitely Dimensional Virasoro—Type Symmetry Algebra |
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| 引用本文： | LINJi LOUSen－Yue 等.High—Dimensional Integrable Models with Infinitely Dimensional Virasoro—Type Symmetry Algebra[J].理论物理通讯,2001,35(1):7-10. |
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| 作者姓名： | LINJi LOUSen－Yue |
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| 作者单位： | [1]CenterofNonlinearScience,universityofScienceandTechnologyofChina,Hefei230026,China [2]DepartmentofAppliedPhysics,ShanghaiJiaoTongUniversity,Shanghai200030,China |
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| 摘 要： | Using every realization of the Virasoro-type symmetry algebraσ(f1),σ(f2)]=σ(f1f2-f2f1),we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries,By means of a concrete realization ,many(3 1)-dimensional equations which possess Kac-Moody-Virasoro-type infinite dimensional symmetry algebras are obtained.
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| 关 键 词： | 对称代数 高维可积模型 不变方程 |
| 收稿时间： | 2000-01-28 |
High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra |
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| LIN Ji,LOU Sen-Yue and WANG Ke-Lin.High-Dimensional Integrable Models with Infinitely Dimensional Virasoro-Type Symmetry Algebra[J].Communications in Theoretical Physics,2001,35(1):7-10. |
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| Authors: | LIN Ji LOU Sen-Yue and WANG Ke-Lin |
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| Institution: | 1. Center of Nonlinear Science, University of Science and
Technology of China, Hefei 230026, China
;2. Department of Applied Physics, Shanghai Jiao Tong
University, Shanghai 200030, China
;3. Department of Physics, Zhejiang Normal University, Jinghua
321004, China |
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| Abstract: | Using every realization of the Virasoro-type symmetry algebra
σ(f1), σ(f2)]=σ(\dot f1f2-\dot
f2f1),
we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries. By means of a concrete
realization, many (3+1)-dimensional equations which possess
Kac-Moody-Virasoro-type infinite dimensional symmetry algebras are
obtained. |
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| Keywords: | symmetry algebra high-dimensional model invariant equation |
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