A class of integrable expanding model for the coupled AKNS-Kaup-Newell soliton hierarchy
Yang Hong-Xiang (杨洪祥)a, Xu 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 $\tilde{A}_2$.
Received: 09 January 2004
Revised: 22 November 2004
Accepted manuscript online:
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
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