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

作者：Ma, Wen-Xiu^*; Zhang, Huiqun; Meng, Jinghan

来源：East Asian Journal on Applied Mathematics, 2013, 3(3): 171-189.

DOI：10.4208/eajam.250613.260713a

• Integrable coupling
• matrix loop algebra
• Hamiltonian structure

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.

• 出版日期2013-8
• 单位青岛大学