Hamiltonian structures for the generalized dispersionless KdV hierarchy

被引：12

作者：

Brunelli, JC

机构：

[1] Univ. Federal de Santa Catarina, Departamento de Física - CFM, Camp. Universitario - Trindade, CEP 88040-900 Florianopolis, SC

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1996年 / 8卷 / 08期

关键词：

AFFINE LIE-ALGEBRAS; LAX EQUATIONS; SYSTEMS; REDUCTION; WAVES; LIMIT;

D O I：

10.1142/S0129055X96000378

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study from a Hamiltonian point of view the generalized dispersionless KdV hierarchy of equations. From the so-called dispersionless Lax representation of these equations we obtain three compatible Hamiltonian structures. The second and third Hamiltonian structures are calculated directly from the r-matrix approach. Since the third structure is not related recursively with the first two the generalized dispersionless KdV hierarchy can be characterized as a truly tri-Hamiltonian system.

引用

页码：1041 / 1053

页数：13

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