Year: 2013
Author: Jinghan Meng, Wen-Xiu Ma
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 652–670
Abstract
We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices, and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings. Applications are made for the AKNS soliton hierarchy and Hamiltonian structures of the resulting integrable couplings are constructed by using the associated variational identities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m12121
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 652–670
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Bi-integrable couplings non-semisimple matrix loop algebras AKNS hierarchy Hamiltonian structure symmetry.