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Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings
Journal article   Peer reviewed

Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings

Jinghan Meng and Wen-Xiu Ma
Advances in applied mathematics and mechanics, Vol.5(5), pp.652-670
01/10/2013
DOI: https://doi.org/10.4208/aamm.12-m12121

Abstract

Mathematics Mathematics, Applied Mechanics Physical Sciences Science & Technology Technology
We propose a class of non-semisimple matrix loop algebras consisting of 3x3 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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