A Lattice Hierarchy with a Free Function and Its Reductions to the Ablowitz-Ladik and Volterra Hierarchies

被引：0
|
作者：
Engui Fan
Zonghang Yang
机构：
[1] Fudan University,School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Science
[2] City University of Hong Kong,Department of Mathematics
来源：
International Journal of Theoretical Physics | 2009年 / 48卷
关键词：
Spectral problem; Nonlinear lattice hierarchy; Ablowitz-Ladik hierarchy; Volterra hierarchy; Multi-Hamiltonian structure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By embedding a free function into a compatible zero curvature equation, we propose a lattice hierarchy with the free function which still admits zero curvature representation. It is interesting that the hierarchy can reduce the Ablowitz-Ladik hierarchy, the Volterra hierarchy and a new hierarchy by properly choosing the embedded function. Moreover, the new hierarchy is integrable in Liouville’s sense and possess multi-Hamiltonian structure.
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页码：1 / 9
页数：8
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