The Hamiltonian structure of the dispersionless Toda hierarchy

被引：8
|
作者：
Fairlie, DB [1 ]
Strachan, IAB [1 ]
机构：
[1] UNIV NEWCASTLE,DEPT MATH & STAT,NEWCASTLE TYNE NE1 7RU,TYNE & WEAR,ENGLAND
来源：
PHYSICA D | 1996年 / 90卷 / 1-2期
关键词：
EQUATION;
D O I：
10.1016/0167-2789(95)00229-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hamiltonian structure of the two-dimensional dispersionless Toda hierarchy is studied, this being a particular example of a system of hydrodynamic type. The polynomial conservation laws for the system turn out, after a change of variable, to be associated with the axially symmetric solutions of the 3-dimensional Laplace equation and this enables a generating function for the Hamiltonian densities to be derived in closed form.
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页码：1 / 8
页数：8
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