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题名: SYMMETRIES AND LIE-ALGEBRAS OF THE HARRY-DYM HIERARCHY
作者: LOU, SY
刊名: CHAOS SOLITONS & FRACTALS
出版日期: 1994
卷号: 4, 期号:10, 页码:1961-1964
关键词: PARTIAL-DIFFERENTIAL EQUATIONS ;  BI-HAMILTONIAN STRUCTURE ;  PAINLEVE PROPERTY ;  SINGULARITY ANALYSIS ;  EVOLUTION-EQUATIONS ;  INTEGRABLE SYSTEMS ;  RECURSION OPERATOR ;  TRANSFORMATION ;  POTENTIALS
学科分类: Physics
部门归属: ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
英文摘要: For the Harry Dym equation, there exist four sets of time-independent symmetries and one set of the master symmetries. The negative half-hierarchy of the master symmetries are also the time-independent symmetries. All these symmetries constitute an infinite-dimensional Lie algebra. Four hierarchies of integrable models possess one common recursion operator and one set of common symmetries. Only usual Harry Dym hierarchy, which contains the Harry Dym equation, possesses four sets of time-independent symmetries, while other three integrable hierarchies possess only two sets of time-independent symmetries.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:A1994PW33700010
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/11847
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
LOU, SY. SYMMETRIES AND LIE-ALGEBRAS OF THE HARRY-DYM HIERARCHY[J]. CHAOS SOLITONS & FRACTALS,1994,4(10):1961-1964.
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