期刊文献+

Lie-Poisson框架下一个新的有限维完全可积系统

A New Finite-dimensional Integrability System in the Lie-Poisson Framework
下载PDF
导出
摘要 研究一个3×3特征值的非线性化,证明此3×3特征值问题的非线性化是Poisson流形上具有Lie-Poisson结构的广义Hamilton系统.并用母函数法证明了其可积性. The nonlinearization of a 3×3 eigenvalue is studied. It is proved that the nonlinearized of this 3×3 eigenval-ue problem is a generalized Hamiltonian system with a Lie-Poisson structure on the Poisson manifold. Furthermore,the generating function method is used to prove its integrability.
作者 薛珊 石磊
出处 《河南科技》 2015年第24期82-84,共3页 Henan Science and Technology
基金 河南交通职业技术学院院级科研项目(2015-YJXM-024)
关键词 LIE-POISSON结构 HAMILTON系统 非线性化特征值问题 Lie-Poisson structure Hamiltonian system nonlinearized eigenvalue problem
  • 相关文献

参考文献9

  • 1Cao,C.W,and Geng,X.G.Classical integrable systems generated through nonlinearization of eigenvalue problems. Proc.Conf.on Nonlinear Physics . 1990
  • 2Cewen Cao,Yongtang Wu,Xianguo Geng.Relation between the Kadomtsev-Petviashvili equation and the confocal involutive system. Journal of Mathematical Physics . 1999
  • 3Cao Cewen.??A classical integrable system and the involutive representation of solutions of the KdV equation(J)Acta Mathematica Sinica . 1991 (3)
  • 4Dianlou Du,Cewen Cao,Yong-Tang Wu.??The nonlinearized eigenvalue problem of the Toda hierarchy in the Lie–Poisson framework(J)Physica A: Statistical Mechanics and its Applications . 2000 (3)
  • 5Dianlou Du,Cewen Cao.??The Lie–Poisson representation of the nonlinearized eigenvalue problem of the Kac–van Moerbeke hierarchy(J)Physics Letters A . 2001 (4)
  • 6Dianlou Du.??Complex form, reduction and Lie–Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy(J)Physica A: Statistical Mechanics and its Applications . 2002 (3)
  • 7曹策问.AKNS族的Lax方程组的非线性化[J].中国科学(A辑),1989,20(7):701-707. 被引量:35
  • 8曹策问.??A Classical Integrable System and the Involutive Representation of Solutions of the KdV Equation(J)Acta Mathematica Sinica. 1991(03)
  • 9Olver P J.Applications of Lie Groups to Differential Equations. . 1993

二级参考文献2

  • 1曹策问.共焦对合系与一类AKNS特征值问题[J]河南科学,1987(01).
  • 2李翊神.一类发展方程和谱的变形[J]中国科学(A辑 数学 物理学 天文学 技术科学),1982(05).

共引文献34

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