| Symmetries and Algebras of a （2＋1）-Dimensional MKdV-Type System |
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| 引用本文： | 王建勇,俞军,楼森岳. Symmetries and Algebras of a （2＋1）-Dimensional MKdV-Type System[J]. 理论物理通讯, 2010, 53(6): 999-1004 |
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| 作者姓名： | 王建勇 俞军 楼森岳 |
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| 作者单位： | [1]Department of Physics, Ningbo University, Ningbo 315211, China [2]Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China [3]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China [4]School of Mathematics, Fudan University, Shanghai 200433, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos. 10735030, 10675065, and 90503006, and PCSIRT （IRT0734）, the National Basic Research Programme of China under Grant No. 2007CB814800. Acknowledgments The authors would like to thank Dr. M. Jia and Dr. X.Y. Tang for their helpful discussions. |
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| 摘 要： | In this paper, a （2＋1）-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed.
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| 关 键 词： | 广义对称性 V型系统 李代数 完全可积性 KdV型 无穷维 |
Symmetries and Algebras of a (2+1)-Dimensional MKdV-Type System |
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| WANG Jian-Yong,YU Jun,LOU Sen-Yue. Symmetries and Algebras of a (2+1)-Dimensional MKdV-Type System[J]. Communications in Theoretical Physics, 2010, 53(6): 999-1004 |
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| Authors: | WANG Jian-Yong YU Jun LOU Sen-Yue |
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| Affiliation: | 1.Department of Physics, Ningbo University, Ningbo 315211, China;2.Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China ;3.Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China ;4.School of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | In this paper, a (2+1)-dimensional MKdV-type system is considered. By applying the formal series symmetry approach, a set of infinitely many generalized symmetries is obtained. These symmetries constitute a closed infinite-dimensional Lie algebra which is a generalization of w∞ type algebra. Thus the complete integrability of this system is confirmed. |
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| Keywords: | formal series symmetry approach w∞ symmetry algebra |
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