Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures

被引：0
|
作者：
Zhang, Huiqun [1 ]
Zhou, Yubin [2 ]
Xu, Junqin [1 ]
机构：
[1] Qingdao Univ, Coll Math Sci, Qingdao 266071, Shandong, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 712000, Gansu, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2016年 / 8卷 / 04期
关键词：
Integrable coupling; bi-integrable coupling; Hamiltonian structure; block matrix loop algebra; VARIATIONAL IDENTITIES; SEMIDIRECT SUMS; TRACE IDENTITY; POWERFUL TOOL; EQUATIONS; GENERATE; ALGEBRAS;
D O I：
10.4208/aamm.2014.m542
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Integrable couplings of the Boiti-Pempinelli-Tu hierarchy are constructed by a class of non-semisimple block matrix loop algebras. Further, through using the variational identity theory, the Hamiltonian structures of those integrable couplings are obtained. The method can be applied to obtain other integrable hierarchies.
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页码：588 / 598
页数：11
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