Multi-component hierarchies of double bracket equations

被引：0
|
作者：
Felipe, R
机构：
[1] CIMAT, Guangzhou 36000, Gto, Mexico
[2] ICIMAF, Havana, Cuba
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2003年 / 52卷 / 02期
关键词：
bouble bracket equations; Baker-Akhiezer function;
D O I：
10.1016/S0034-4877(03)90010-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new integrable hierarchy, with equations defined by double brackets of two matrix pseudo-differential operators (Lax pairs), is constructed. Some algebraic properties are demonstrated. It is also shown that each equation is equivalent to a certain gradient flow. A new version of the Zakharov-Shabat type equations is proved. Formal solutions of this hierarchy are constructed using a matrix "double bracket bilinear identity".
引用
收藏
页码：167 / 176
页数：10
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