@Article{EAJAM-3-3, author = {}, title = {A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2013}, volume = {3}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.250613.260713a}, url = {https://global-sci.com/article/82823/a-block-matrix-loop-algebra-and-bi-integrable-couplings-of-the-dirac-equations} }