文献类型：期刊文献

中文题名：Symmetries and Algebras of a (2+1)-Dimensional MKdV-Type System

英文题名：Symmetries and Algebras of a (2+1)-Dimensional MKdV-Type System

作者：王建勇[1,2];俞军[2];楼森岳[1,3,4]

机构：[1]Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China;[2]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[3]Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China;[4]Fudan Univ, Sch Math, Shanghai 200433, Peoples R China

年份：2010

期号：6

起止页码：999

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000278904200001)、CSTPCD、、Scopus(收录号：2-s2.0-77953929073)、CSCD2011_2012、WOS、CSCD、PubMed

基金：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

语种：中文

中文关键词：广义对称性;V型系统;李代数;完全可积性;KdV型;无穷维

外文关键词：formal series symmetry approach, w∞ symmetry algebra

中文摘要：在这份报纸，一(2+1 ) 维的 MKdV 类型系统被考虑。由使用正式系列对称途径，一套无穷地，许多概括对称被获得。这些对称组成是 w 类型代数学的归纳的关上的无限维的谎言代数学。因此，这个系统的完全的 integrability 被证实。

外文摘要：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.