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A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
Journal article   Peer reviewed

A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations

Wen-Xiu Ma, Huiqun Zhang and Jinghan Meng
East Asian journal on applied mathematics, Vol.3(3), pp.171-189
01/08/2013
DOI: https://doi.org/10.4208/eajam.250613.260713a

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A non-semisimple matrix loop algebra is presented, and a class of zero curvature equations over this loop algebra is used to generate bi-integrable couplings. An illustrative example is made for the Dirac soliton hierarchy. Associated variational identities yield bi-Hamiltonian structures of the resulting bi-integrable couplings, such that the hierarchy of bi-integrable couplings possesses infinitely many commuting symmetries and conserved functionals.

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