Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form

被引：10

作者：

Guo, Xiurong ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Dept Publ Courses, Tai An 171019, Shandong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 12期

关键词：

Integrable system; GI hierarchy; Lie algebra; LIE-ALGEBRAS; COUPLINGS; EQUATIONS;

D O I：

10.1016/j.cnsns.2009.02.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a Lie algebra G and its loop algebra (G) over tilde, a soliton hierarchy of evolution equations is derived from which the well-known Gerdjikov-Ivanov (GI) hierarchy with two potential functions is obtained. With the help of different choices of the modified terms, two expanding integrable systems are produced, one of them has complex Hamiltonian structure. Again by making a linear transformation between G and itself, a complex Lie algebra H is obtained, the corresponding loop algebra (H) over tilde is defined for which a generalized GI hierarchy with self-consistent sources and its expanding integrable model are worked out. respectively. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：4065 / 4070

页数：6

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