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Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings
Published online by Cambridge University Press: 03 June 2015
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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- Copyright © Global-Science Press 2013