@Article{EAJAM-3-171, author = {Wen-Xiu Ma, Huiqun Zhang and Jinghan Meng}, title = {A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, 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 = {http://global-sci.org/intro/article_detail/eajam/10854.html} }