anewhierarchyoflaxandliouvilleintegrableevolutionequationsassociatedwithanisospectralproblemintheloopalgebraa2

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	anewhierarchyoflaxandliouvilleintegrableevolutionequationsassociatedwithanisospectralproblemintheloopalgebraa2
	Zhenya Yan
	2006
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	19 期号:3 页码:301
摘要	In this paper, an isospectral problem with five potentials is investigated in loop algebra A_2 such that a new hierarchy of evolution equations with five arbitrary functions is obtained. And then by fixing the five arbitrary functions to be certain functions and using the trace identity, the generalized Hamiltonian structure of the hierarchy of evolution equations is given. It is shown that this hierarchy of equations is Liouville integrable. Finally some special cases of the isospectral problemare also given.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39323
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Zhenya Yan. anewhierarchyoflaxandliouvilleintegrableevolutionequationsassociatedwithanisospectralproblemintheloopalgebraa2[J]. journalofsystemsscienceandcomplexity,2006,19(3):301.
APA	Zhenya Yan.(2006).anewhierarchyoflaxandliouvilleintegrableevolutionequationsassociatedwithanisospectralproblemintheloopalgebraa2.journalofsystemsscienceandcomplexity,19(3),301.
MLA	Zhenya Yan."anewhierarchyoflaxandliouvilleintegrableevolutionequationsassociatedwithanisospectralproblemintheloopalgebraa2".journalofsystemsscienceandcomplexity 19.3(2006):301.