Please wait a minute...
Chinese Physics, 2005, Vol. 14(5): 869-874    DOI: 10.1088/1009-1963/14/5/001
GENERAL   Next  

A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy

Yang Hong-Xiang (杨洪祥)aXu Xi-Xiang(徐西祥)b
a Department of Computer Science and Technology, Taishan College, Taian 271021,China; b College of Science, Shandong University of Science and Technology, Qingdao 266510,China
Abstract  An isospectral problem is established by means of a sub-algebra of Loop Lie algebra $\tilde{A}_1$, from which the coupled AKNS-Kaup-Newell soliton hierarchy is derived. Subsequently, the integrable expending model i.e. integrable coupling is constructed through enlarging the corresponding Loop algebra into $\tilde{A}_2$.
Keywords:  Coupled AKNS-Kaup-Newell soliton hierarchy      Loop Lie algebra      Integrable coupling  
Received:  09 January 2004      Revised:  22 November 2004      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Ik (Integrable systems)  
  02.10.Ud (Linear algebra)  

Cite this article: 

Yang Hong-Xiang(杨洪祥), Xu Xi-Xiang (徐西祥) A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy 2005 Chinese Physics 14 869

[1] A nonlinear discrete integrable coupling system and its infinite conservation laws
Yu Fa-Jun (于发军 ). Chin. Phys. B, 2012, 21(11): 110202.
[2] Nonlinear integrable couplings of a nonlinear Schrödinger–modified Korteweg de Vries hierarchy with self-consistent sources
Yang Hong-Wei (杨红卫), Dong Huan-He (董焕河), Yin Bao-Shu (尹宝树). Chin. Phys. B, 2012, 21(10): 100204.
[3] Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy
Yu Fa-Jun(于发军) . Chin. Phys. B, 2012, 21(1): 010201.
[4] Two new integrable couplings of the soliton hierarchies with self-consistent sources
Xia Tie-Cheng(夏铁成). Chin. Phys. B, 2010, 19(10): 100303.
[5] A new multi-component integrable coupling system for AKNS equation hierarchy with sixteen-potential functions
Yu Fa-Jun(于发军) and Li Li(李丽). Chin. Phys. B, 2009, 18(9): 3651-3656.
[6] Discrete integrable system and its integrable coupling
Li Zhu(李柱). Chin. Phys. B, 2009, 18(3): 850-855.
[7] The multicomponent (2+1)-dimensional Glachette--Johnson (GJ) equation hierarchy and its super-integrable coupling system
Yu Fa-Jun(于发军) and Zhang Hong-Qing(张鸿庆). Chin. Phys. B, 2008, 17(5): 1574-1580.
[8] Non-isospectral integrable couplings of Ablowitz--Kaup--Newell--Segur (AKNS) hierarchy with self-consistent sources
Yu Fa-Jun (于发军), Li Li (李 丽). Chin. Phys. B, 2008, 17(11): 3965-3973.
[9] The Liouville integrable coupling system of the m-AKNS hierarchy and its Hamiltonian structure
Yue Chao(岳超), Yang Geng-Wen(杨耕文), and Xu Yue-Cai(许曰才). Chin. Phys. B, 2007, 16(3): 595-598.
[10] Multi-component Dirac equation hierarchy and its multi-component integrable couplings system
Xia Tie-Cheng(夏铁成) and You Fu-Cai(尤福财). Chin. Phys. B, 2007, 16(3): 605-610.
[11] The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system
Xia Tie-Cheng (夏铁成), Wang Hong (汪宏), Zhang Yu-Feng (张玉峰). Chin. Phys. B, 2005, 14(2): 247-250.
[12] A type of multi-component integrable hierarchy
Zhang Yu-Feng (张玉峰), Zhang Yu-Sen (张玉森). Chin. Phys. B, 2004, 13(8): 1183-1186.
[13] Two expanding forms of a Lie algebra and their application
Yan Qing-You (闫庆友), Zhang Yu-Feng (张玉峰), Wei Xiao-Peng (魏小鹏). Chin. Phys. B, 2003, 12(6): 581-585.
No Suggested Reading articles found!