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

A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
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Year:    2013

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 3 : pp. 171–189

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.250613.260713a

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 3 : pp. 171–189

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Integrable coupling matrix loop algebra Hamiltonian structure.

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