Tri-Integrable Couplings of the Giachetti-Johnson Soliton Hierarchy as well as Their Hamiltonian Structure

被引:2
作者
Wang, Lei [1 ]
Tang, Ya-Ning [1 ]
机构
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
COUPLED BURGERS HIERARCHY; PERTURBATION EQUATIONS; DIRAC HIERARCHY; SYSTEM;
D O I
10.1155/2014/627924
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on zero curvature equations from semidirect sums of Lie algebras, we construct tri-integrable couplings of the Giachetti-Johnson (GJ) hierarchy of soliton equations and establish Hamiltonian structures of the resulting tri-integrable couplings by the variational identity.
引用
收藏
页数:8
相关论文
共 24 条
[1]   A simple method for generating integrable hierarchies with multi-potential functions [J].
Fan, E ;
Zhang, YF .
CHAOS SOLITONS & FRACTALS, 2005, 25 (02) :425-439
[2]   A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling [J].
Guo, FK ;
Zhang, YF .
JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (12) :5793-5803
[3]   Two integrable couplings of the Tu hierarchy and their Hamiltonian structures [J].
Li, Zhu ;
Dong, Huanhe .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2643-2652
[4]  
Ma W. X., 2012, PREPRINT
[5]   COUPLING INTEGRABLE COUPLINGS [J].
Ma, Wen Xiu ;
Gao, Liang .
MODERN PHYSICS LETTERS B, 2009, 23 (15) :1847-1860
[6]   Variational identities and applications to Hamiltonian structures of soliton equations [J].
Ma, Wen-Xiu .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1716-E1726
[7]   Loop algebras and bi-integrable couplings [J].
Ma, Wenxiu .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (02) :207-224
[8]   The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy [J].
Ma, WX ;
Fuchssteiner, B .
PHYSICS LETTERS A, 1996, 213 (1-2) :49-55
[9]   Integrable theory of the perturbation equations [J].
Ma, WX ;
Fuchssteiner, B .
CHAOS SOLITONS & FRACTALS, 1996, 7 (08) :1227-1250
[10]   Enlarging spectral problems to construct integrable couplings of soliton equations [J].
Ma, WX .
PHYSICS LETTERS A, 2003, 316 (1-2) :72-76