Nonlinear Integrable Couplings of the Kaup-Newell Hierarchy

被引：0

作者：

Wei, Xiaoli ^{[1
]}

Zhang, Jiao ^{[2
]}

机构：

[1] Liaoning Shihua Univ, Coll Sci, Fushun, Peoples R China

[2] Shenyang Inst Engn, Dept Basic Sci, Shenyang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF FUTURE GENERATION COMMUNICATION AND NETWORKING | 2016年 / 9卷 / 01期

关键词：

power line communication; Lie algebra; soliton equation; zero curvature equations; KN hierarchy; nonlinear integrable couplings;

D O I：

暂无

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

In this paper; a six-dimensional Lie algebra is first introduced, whose corresponding loop algebra is constructed, for which an isospectral problem is established. By zero curvature equations, we obtain the nonlinear integrable couplings of the Kaup-Newell (KN) hierarchy.

引用

页码：61 / 70

页数：10

共 50 条

[41] A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems [J].

Wang, Haifeng ;

Zhang, Yufeng .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 99

[42] Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources [J].

Wei, Hanyu ;

Xia, Tiecheng .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) :6883-6894

[43] A nonisospectral integrable model of AKNS hierarchy and KN hierarchy, as well as its extended system [J].

Wang, Haifeng ;

Zhang, Yufeng .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (10)

[44] Integrable coupling of KN hierarchy and its Hamiltonian structure [J].

Guo, FK ;

Zhang, YF .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (05) :799-801

[45] Noncommutative integrable coupling system of TC equation hierarchy [J].

Yu, Fajun ;

Li, Li .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) :3796-3801

[46] Integrable Coupling of KN Hierarchy and Its Hamiltonian Structure [J].

GUO FuKui and ZHANG YuFeng Information School Shandong University of Science and Technology Qingdao China .

Communications in Theoretical Physics, 2006, 45 (05) :799-801

[47] A New Lie Algebra and a Way to Generate Multiple Integrable Couplings [J].

FENG BinLuand HAN Bo Department of MathematicsHarbin Institute of TechnologyHarbin China Department of MathematicsWeifang UniversityWeifang China .

Communications in Theoretical Physics, 2007, 48 (12) :979-982

[48] Enlarging spectral problems to construct integrable couplings of soliton equations [J].

Ma, WX .

PHYSICS LETTERS A, 2003, 316 (1-2) :72-76

[49] A new Lie algebra and a way to generate multiple integrable couplings [J].

Feng Bin-Lu ;

Han Bo .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (06) :979-982

[50] A new multi-component matrix loop algebra and a multi-component integrable couplings of the NLS-MKdV hierarchy and its Hamiltonian structure [J].

Chang, Hui ;

Zhang, Yufeng .

CHAOS SOLITONS & FRACTALS, 2009, 39 (02) :473-478

← 1 2 3 4 5 →