期刊文献+

一族Liouville可积的离散Hamilton系统

A Hierarchy of Liouvlle Integrable Discrete Hamiltonian Systems
下载PDF
导出
摘要 引入一个离散的等谱特征值问题 ,导出相应的离散的Hamilton系统族 ,并且证明了它们是Liou A discrete isospectral problem is introduced,the corresponding hierarchies of discrete Hamiltonian systems are presented.It is proved that these hierarchies are all Liouville integrable.
作者 徐西祥
出处 《山东科技大学学报(自然科学版)》 CAS 2002年第4期5-9,共5页 Journal of Shandong University of Science and Technology(Natural Science)
关键词 Liouuville可积系 离散HAMILTON系统 迹恒等式 离散特征值问题 非线性微分—差分方程 discrete spectral problem Hamiltonian System discrete integrable system trace identity
  • 相关文献

参考文献6

  • 1ABLOWITZM J and LADIK.Nonlinear differential-difference equations[J].J .Math.Phys.,1975,16:598-603.
  • 2ZHENG Y B and WOJCIECHOWSKI R.Restricted flows of the Ablowitz-Ladik hierarchy and their continuous limits[J].J.phys.A:Math,Gen 1995,28:113-134.
  • 3TU G Z.A trace identity and its applications to the throry of discrete integrable systems[J].J.phys.A:Math,Gen,1990,23:3903-3922.
  • 4OHTA Y and HIROTA R.A discrete Kdv equation and its Casorati determinant solution[J].J .Phys.soc.Jpn.1991,60:2095-2301.
  • 5ZHANG H W,TU G Z,OEVEL W,and FUCHSSTEINER B.Symmetries,conserved quantities,and hierarchies for some lattice systems with soliton structure[J].J .Math.Phys.1991,32:1908-1918.
  • 6徐西祥.一族新的离散的广义Hamilton可积系[J].山东科技大学学报(自然科学版),2001,20(2):1-4. 被引量:9

二级参考文献3

  • 1TU Gui-zhang. On Liouville integrability of Zero Curature equation and the Yang hierarchy[J]. J, Phys. A: Math. Gen, 22(1989)2375-2392.
  • 2TU Gui-zhang. A trace identity and its application to the theory of discrete integrable systems[J]. J, Phys, A: Math, Gen,23(1990)3903-3922.
  • 3ZENG Yun-bo and Roueh-Wojeieehowski. Restricted flows of the Ablowitz- Ladik hierarchy and their Continuous limits[J]. Phys, A: Math. Gen 28(1995)113-134.

共引文献8

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