Hamiltonian Tri-Integrable Couplings of the AKNS Hierarch

We propose a systematic approach for generating Hamiltonian tri-integrable couplings of soliton hierarchies. The resulting approach is based on semi-direct sums of matrix Lie algebras consisting of 4× 4 block matrix Lie algebras. We apply the approach to the AKNS soIRon hierarchy, and Hamiltonian st...

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Bibliographic Details
Published in理论物理通讯：英文版 Vol. 59; no. 4; pp. 385 - 392
Main Author MENG Jing-Han MA Wen-Xiu
Format Journal Article
LanguageEnglish
Published 2013
Subjects
哈密顿
块矩阵
层次结构
李代数
直和
结构构造
耦合
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Summary:We propose a systematic approach for generating Hamiltonian tri-integrable couplings of soliton hierarchies. The resulting approach is based on semi-direct sums of matrix Lie algebras consisting of 4× 4 block matrix Lie algebras. We apply the approach to the AKNS soIRon hierarchy, and Hamiltonian structures of the obtained tri-integrable couplings are constructed by the variational identity.
Bibliography:tri-integrable coupling, non-semisimple matrix loop algebra, AKNS hierarchy, bi-Hamiltonianstructure, symmetry, conservation law
11-2592/O3
We propose a systematic approach for generating Hamiltonian tri-integrable couplings of soliton hierarchies. The resulting approach is based on semi-direct sums of matrix Lie algebras consisting of 4× 4 block matrix Lie algebras. We apply the approach to the AKNS soIRon hierarchy, and Hamiltonian structures of the obtained tri-integrable couplings are constructed by the variational identity.
ISSN:0253-6102