On the prolongation of a hierarchy of hydrodynamic chains

被引：0
|
作者：
Shabat, AB [1 ]
Alonso, LM [1 ]
机构：
[1] Russian Acad Sci, Landau Theoret Phys Inst, Moscow 117334, Russia
来源：
NEW TRENDS IN INTEGRABILITY AND PARTIAL SOLVABILITY | 2004年 / 132卷
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The prolongation of a hierarchy of hydrodynamic chains previously studied by the authors is presented and the properties of the differential reductions of the enlarged hierarchy are derived. Several associated nonlinear integrable models are exhibited. In particular, it is found that the Camassa-Holm equation can be described as a second-order differential reduction of one of the new flows included in the hierarchy.
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页码：263 / 280
页数：18
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