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The multicomponent (2+1)-dimensional Glachette–Johnson (GJ) equation hierarchy and its super-integrable coupling system

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【Author】 Yu Fa-Jun a)b) and Zhang Hong-Qing b) a) School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China b) Department of Mathematics, Dalian University of Technology, Dalian 116024, China

【机构】 School of Mathematics and Systematic Sciences, Shenyang Normal University； Department of Mathematics, Dalian University of Technology；

【摘要】 This paper presents a set of multicomponent matrix Lie algebra, which is used to construct a new loop algebra A M . By using the Tu scheme, a Liouville integrable multicomponent equation hierarchy is generated, which possesses the Hamiltonian structure. As its reduction cases, the multicomponent (2+1)-dimensional Glachette–Johnson (GJ) hierarchy is given. Finally, the super-integrable coupling system of multicomponent (2+1)-dimensional GJ hierarchy is established through enlarging the spectral problem.更多还原

【Abstract】 This paper presents a set of multicomponent matrix Lie algebra, which is used to construct a new loop algebra A M . By using the Tu scheme, a Liouville integrable multicomponent equation hierarchy is generated, which possesses the Hamiltonian structure. As its reduction cases, the multicomponent (2+1)-dimensional Glachette–Johnson (GJ) hierarchy is given. Finally, the super-integrable coupling system of multicomponent (2+1)-dimensional GJ hierarchy is established through enlarging the spectral problem.更多还原

【关键词】 matrix Lie algebra； multicomponent GJ hierarchy； super-integrable coupling system；
【Key words】 matrix Lie algebra； multicomponent GJ hierarchy； super-integrable coupling system；

【基金】 supported by the National Key Basic Research Development of China (Grant No 2004CB318000)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2008年05期

【分类号】O411.1;O152.5
【下载频次】19

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