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

[1] INTEGRABLE COUPLINGS OF SUPER KAUP-NEWELL EQUATION HIERARCHY
Ji, Jie
Sun, Ye-Peng
Zhang, Jian-Bing
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (30):
[2] Nonlinear bi-integrable couplings of a generalized Kaup-Newell type soliton hierarchy
Guan, Xue
Zhang, Huiqun
Liu, Wenjun
OPTIK, 2018, 172 : 1003 - 1011
[3] Nonlinear integrable couplings of super Kaup-Newell hierarchy and its super Hamiltonian structures
Wei Han-Yu
Xia Tie-Cheng
ACTA PHYSICA SINICA, 2013, 62 (12)
[4] A new expanding integrable hierarchy of Kaup-Newell hierarchy
Dong, Huanhe
MODERN PHYSICS LETTERS B, 2006, 20 (20): : 1241 - 1246
[5] An integrable generalization of the Kaup-Newell soliton hierarchy
Ma, Wen-Xiu
Shi, Chang-Guang
Appiah, Emmanuel A.
Li, Chunxia
Shen, Shoufeng
PHYSICA SCRIPTA, 2014, 89 (08)
[6] New Integrable Couplings of Generalized Kaup-Newell Hierarchy and Its Hamiltonian Structures
夏铁成
张改莲
范恩贵
Communications in Theoretical Physics, 2011, 56 (07) : 1 - 4
[7] New Integrable Couplings of Generalized Kaup-Newell Hierarchy and Its Hamiltonian Structures
Xia Tie-Cheng
Zhang Gai-Lian
Fan En-Gui
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (01) : 1 - 4
[8] The generalized fractional trace variational identity and fractional integrable couplings of Kaup-Newell hierarchy
Wei, Han-Yu
Xia, Tie-Cheng
JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (08)
[9] The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions
Xia, TC
Fan, EG
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (04)
[10] Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures
Yu, Shuimeng
Yao, Yuqin
Shen, Shoufeng
Ma, Wen-Xiu
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 23 (1-3) : 366 - 377

← 1 2 3 4 5 →