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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  and
Wen-Xiu Ma
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: jmeng@mail.usf.edu
Email: mawx@math.usf.edu
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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.

Keywords

37K0537K1035Q53Bi-integrable couplingsnon-semisimple matrix loop algebrasAKNS hierarchyHamiltonian structuresymmetry
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 5 , October 2013 , pp. 652 - 670
Copyright
Copyright © Global-Science Press 2013

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