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A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
Published online by Cambridge University Press: 28 May 2015
Abstract
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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- Copyright © Global-Science Press 2013
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