An integrable couplings of G-WKI equations hierarchy with self-consistent sources

被引:0
作者
Yu, Fajun [1 ]
机构
[1] Shenyang Normal Univ, Coll Maths & Systemat Sci, Shenyang 110034, Peoples R China
关键词
WKI equations hierarchy; Self-consistent sources; Integrable couplings; Soliton; LIE-ALGEBRAS; SEMIDIRECT SUMS; SOLITON-EQUATIONS; HAMILTONIAN STRUCTURES; WELL;
D O I
10.1016/j.camwa.2010.08.079
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a kind of integrable couplings of soliton equations hierarchy with self-consistent sources by using the loop algebra (s) over tildel(4). As an application, a new integrable couplings of the generalized Wadati-Konono-lchikawa (G-WKI) equations hierarchy with self-consistent sources is derived through the enlarged loop algebra (s) over tildel(4). (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2085 / 2089
页数:5
相关论文
共 18 条
[1]  
Ablowitz M., 1991, Soliton, Nonlinear Evolution Equations and Inverse Scattering
[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]   PERIODIC-SOLUTIONS OF KDV EQUATION [J].
LAX, PD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (01) :141-188
[4]  
Ma W. X., 1992, Chin. Ann. Math. Ser. A, V13, P115
[5]   A supertrace identity and its applications to superintegrable systems [J].
Ma, Wen-Xiu ;
He, Jing-Song ;
Qin, Zhen-Yun .
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (03)
[6]   A discrete variational identity on semi-direct sums of Lie algebras [J].
Ma, Wen-Xiu .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (50) :15055-15069
[7]   Semidirect sums of Lie algebras and discrete integrable couplings [J].
Ma, Wen-Xiu ;
Xu, Xi-Xiang ;
Zhang, Yufeng .
JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (05)
[8]   Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras [J].
Ma, Wen-Xiu ;
Chen, Min .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (34) :10787-10801
[9]   Variational identities and applications to Hamiltonian structures of soliton equations [J].
Ma, Wen-Xiu .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E1716-E1726
[10]   Semi-direct sums of Lie algebras and continuous integrable couplings [J].
Ma, WX ;
Xu, XX ;
Zhang, YF .
PHYSICS LETTERS A, 2006, 351 (03) :125-130