TY - JOUR
T1 - A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 171
EP - 189
PY - 2018
DA - 2018/02
SN - 3
DO - http://doi.org/10.4208/eajam.250613.260713a
UR - https://global-sci.org/intro/article_detail/eajam/10854.html
KW - Integrable coupling, matrix loop algebra, Hamiltonian structure.
AB - <p style="text-align: justify;">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.</p>