| （2＋1）维KdV族的可积耦合及其哈密顿结构 |
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| 引用本文： | 宋明,徐建建,徐秀丽.（2＋1）维KdV族的可积耦合及其哈密顿结构[J].曲阜师范大学学报,2009,35(1):29-32. |
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| 作者姓名： | 宋明 徐建建 徐秀丽 |
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| 作者单位： | 宋明,SONG Ming(荣成市第二中学,264309,荣成市);徐建建,XU Jian-jian(山东科技大学信息科学与工程学院,266510,青岛市);徐秀丽,XU Xiu-li(枣庄科技职业学院,277500,山东省滕州市)
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| 摘 要： | 首先构造了一个loop代数；根据（2＋1）维零曲率方程计算得到（2＋1）维KdV族的可积耦合，然后通过二次型恒等式得到它的哈密顿结构．展示的方法新颖简便，可以用于其它许多方程族．
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| 关 键 词： | (2+1)维零曲率方程 二次型恒等式 可积耦合 哈密顿结构 |
Integrable Couplings of the (2+1)-Dimensional KdV Hierarchy and its Hamiltonian Structure |
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| SONG Ming,XU Jian-jian,XU Xiu-li.Integrable Couplings of the (2+1)-Dimensional KdV Hierarchy and its Hamiltonian Structure[J].Journal of Qufu Normal University(Natural Science),2009,35(1):29-32. |
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| Authors: | SONG Ming XU Jian-jian XU Xiu-li |
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| Institution: | SONG Ming, XU Jian-jian, XU Xiu-li (1. Rongcheng No. 2 Middle School,264309, Rongcheng; 2. College of Information Science and Engineering, Shandong University of Science and Technology,266510, Qingdao ; 3. Zaozhuang College of Vocational Technology,277500,Tengzhou, Shandong, PRC ) |
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| Abstract: | A loop algebra is constructed,whose subalgebra can be used to present a lax pair.Using the(2+1)-dimensional zero curvature equation,integrable coupling of the(2+1)-dimensional hierarchy is generated.Further more,the Hamilton ian structure of its integrable couplings is worked out by using of the quadratic-form identity,which is of Liouville intergrable.The method mentioned can be widely used to other soliton hierarchies. |
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| Keywords: | （2 ＋ 1 ） -dimensional zero curvature equation quadratic-form identity integrable coupling Hamil- tonian structure |
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