Bi-Integrable Couplings of a New Soliton Hierarchy Associated with SO(4)

被引：2

作者：

Cao, Yan ^{[1
,2
]}

Chen, Liangyun ^{[1
]}

He, Baiying ^{[1
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Harbin Univ Sci & Technol, Rongcheng 264300, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷

关键词：

LIE-ALGEBRAS; HAMILTONIAN-STRUCTURE; YANG HIERARCHY; EQUATIONS;

D O I：

10.1155/2015/857684

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Hamiltonian structures of the obtained bi-integrable couplings are constructed by the variational identity.

引用

页数：11

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