NONLINEAR SUPERINTEGRABLE COUPLINGS FOR SUPERCOUPLED KDV HIERARCHY WITH SELF-CONSISTENT SOURCES

作者：You Fucai^*; Zhang Jiao

来源：Reports on Mathematical Physics, 2015, 76(2): 131-140.

DOI：10.1016/s0034-4877(15)00032-4

• Lie superalgebras
• superintegrable couplings
• super-Hamiltonian structures
• self-consistent sources

In this paper, based on matrix Lie superalgebras, a new isospectral super-Lax matrix is established. By employing the super-Ablowitz-Kaup-Neweu-Segur (AKNS) scheme nonlinear superintegrable couplings for the supercoupled KdV hierarchy are worked out. Supertrace identity is used to furnish super-Hamiltonian structures for the superintegrable hierarchy. Furthermore, we propose nonlinear superintegrable couplings of the resulting integrable hierarchy with self-consistent sources.

• 出版日期2015-10
• 单位沈阳工程学院