Noncommutative AKNS equation hierarchy and its integrable couplings with Kronecker product

被引：6

作者：

College of Mathematics and Systematic Science, Shenyang Normal University, Shenyang 110034, China ^{[1
]}

机构：

[1] College of Mathematics and Systematic Science, Shenyang Normal University

来源：

Chin. Phys. Lett. | 2008年 / 2卷 / 359-362期

关键词：

D O I：

10.1088/0256-307X/25/2/003

中图分类号：

学科分类号：

摘要：

We present a noncommutative version of the Ablowitz-Kaup-Newell-Segur (AKNS) equation hierarchy which possesses the zero curvature representation. Furthermore, we derive the noncommutative AKNS equation from the noncommutative (anti-)self-dual Yang-Mills equation by reduction, which is an evidence for the noncommutative Ward conjecture. Finally, the integrable coupling system of the noncommutative AKNS equation hierarchy is constructed by using the Kronecker product. © 2008 Chinese Physical Society and IOP Publishing Ltd.

引用

页码：359 / 362

页数：3

共 50 条

[21] The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
Guo, Fukui
Zhang, Yufeng
[J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1898 - 1902
[22] Integrable Rosochatius Deformations for an Integrable Couplings of CKdV Equation Hierarchy
Yu Fa-Jun
Li Li
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (04) : 609 - 614
[23] Integrable Rosochatius Deformations for an Integrable Couplings of CKdV Equation Hierarchy
于发军
李丽
[J]. Communications in Theoretical Physics, 2010, 54 (10) : 609 - 614
[24] Noncommutative integrable coupling system of TC equation hierarchy
Yu, Fajun
Li, Li
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3796 - 3801
[25] A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS
Zhang, Jiao
Wei, Xiaoli
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (17): : 3453 - 3460
[26] A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy
Yu, Fajun
Feng, Shuo
Zhao, Yanyu
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[27] The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure
Yuan Wei
Li Yin
Xin Long
[J]. Advances in Difference Equations, 2019
[28] A nonisospectral integrable model of AKNS hierarchy and KN hierarchy, as well as its extended system
Wang, Haifeng
Zhang, Yufeng
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (10)
[29] The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure
Wei, Yuan
Yin, Li
Long, Xin
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019,
[30] Integrable couplings of vector AKNS soliton equations
Ma, WX
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (03)

← 1 2 3 4 5 →