期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

矩阵KdV约束流的r矩阵 被引量：1

r-Matrix for the Restricted Matrix KdV Flows
下载PDF
导出
摘要 得到了一个4×4矩阵型的Lax算子的r矩阵,由此利用r矩阵理论证明了矩阵KdV约束流在Liouville意义下是完全可积的. A r - matrix relation of a matrix Lax operator is presented. Then the complete integrabilities in the Liouville sense of the restricted matrix KdV flows are established in the framework of r - matrix.
作者 徐英 梁凤鸣
机构地区 淮南师范学院数学与计算科学系 泰山学院学报编辑部
出处 《泰山学院学报》 2012年第3期35-39,共5页 Journal of Taishan University
关键词 Lax算子 R矩阵 非线性化 矩阵KdV方程 Lax operator r - matrix nonlinearization matrix KdV equation
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献2

二级参考文献1

  • 1M. R. Adams,J. Harnad,E. Previato. Isospectral hamiltonian flows in finite and infinite dimensions[J] 1988,Communications in Mathematical Physics(3):451～500

共引文献37

同被引文献15

  • 1Zhijun Qiao.A new completely integrable Liouville’s system produced by the Kaup-- Newell eigenvalue problem. Journal of Mathematical Physics . 1993
  • 2Babelon O,Viallet C M.Hamiltonian structures and Lax equations. Physics Letters . 1990
  • 3Wen-xiu Ma,Walter Strampp.An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems. Physics Letters . 1994
  • 4Wen-Xiu Ma,Zixiang Zhou.Binary symmetry constraints of N\scr N-wave interaction equations in 1+11+1 and 2+12+1 dimensions. Journal of Mathematical Physics . 2001
  • 5W.X. Ma.??Symmetry constraint of MKdV equations by binary nonlinearization(J)Physica A: Statistical Mechanics and its Applications . 1995 (3)
  • 6W. -X. Ma,Q. Ding,W. G. Zhang,B. Q. Lu.??Binary non-linearization of Lax pairs of Kaup-Newell soliton hierarchy(J)Il Nuovo Cimento B Series 11 . 1996 (9)
  • 7Ruguang Zhou.Finite-dimensional integrable Hamiltonian systems related to the nonlinear Schr\'odinger equation. Studies in Applied Mathematics . 2009
  • 8W.X. Ma,B. Fuchssteiner,W. Oevel.??A 3 sx 3 matrix spectral problem for AKNS hierarchy and its binary nonlinearization(J)Physica A: Statistical Mechanics and its Applications . 1996 (1)
  • 9Ying Xu,Ruguang Zhou.??Integrable decompositions of a symmetric matrix Kaup–Newell equation and a symmetric matrix derivative nonlinear Schr?dinger equation(J)Applied Mathematics and Computation . 2013 (9)
  • 10Zhenyun Qin.??A finite-dimensional integrable system related to a new coupled KdV hierarchy(J)Physics Letters A . 2006 (6)

引证文献1

泰山学院学报
2012年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部