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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

Jinghan Meng*
Affiliation:
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
Wen-Xiu Ma*
Affiliation:
Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
*
Corresponding author. Email: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2013

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