A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures

作者：Wei Jiao^*; Geng Xianguo

来源：Applied Mathematics and Computation, 2015, 268: 664-670.

DOI：10.1016/j.amc.2015.06.105

• Nonlinear evolution equations
• bi-Hamiltonian structures
• Conservation laws

With the aid of the zero-curvature equation, a hierarchy of new nonlinear evolution equations is proposed, which is associated with a 3 x 3 matrix spectral problem with four potentials. The generalized bi-Hamiltonian structures for the hierarchy are derived by using the trace identity. Furthermore, we construct the infinite conservation laws of a typical nonlinear evolution equation in the hierarchy by utilizing spectral parameter expansion.

• 出版日期2015-10-1
• 单位郑州大学