| 主手征场方程的对称及其构成的李代数 |
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| 引用本文： | 张友金.主手征场方程的对称及其构成的李代数[J].中国科学技术大学学报,1990,20(3):267-272. |
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| 作者姓名： | 张友金 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 摘 要： | 利用主手征场方程的Lax 对及无穷小意义下的“穿衣服”方法,得到了主手征场方程的无穷多串对称,并且证明了它们构成一圈代数以及某一与Virasors 代数类似的无穷维李代数.
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| 关 键 词： | Lax对 主手征场方程 对称 李代数 |
Symmetries and the Related Lie Algebraic Structure of the Principal Chiral Field Equation |
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| Zhang Youjin.Symmetries and the Related Lie Algebraic Structure of the Principal Chiral Field Equation[J].Journal of University of Science and Technology of China,1990,20(3):267-272. |
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| Authors: | Zhang Youjin |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper the principal chiral field equation is considered.By
using the correspondent linear system and the infinitesimal version of
the'dressing'method,infinite numbers are obtained of symmetries
which constitute a loop algebra and an infinite dimensional Lie algebra
similar to a Virasoro algebra. |
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| Keywords: | Lax pair principal chiral field eqeation symmetry |
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