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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.