Abstract:A hierarchy of new nonlinear evolution equations associated with a 3×3 matrix spectral problem with four potentials is proposed, in which two typical members are a new coupled Burgers equation and a new coupled KdV equation. The bi-Hamiltonian structures for the hierarchy of nonlinear evolution equations are established by using the trace identity.
. [J]. 中国物理快报, 2014, 31(07): 70202-070202.
GENG Xian-Guo, WANG Hui. A Hierarchy of New Nonlinear Evolution Equations and Their Bi-Hamiltonian Structures. Chin. Phys. Lett., 2014, 31(07): 70202-070202.