A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures
A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures
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DOI：
10.1016/j.amc.2015.06.105
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发表时间：
2015-10
期刊：
影响因子：
--
通讯作者：
Jiao Wei;X. Geng
中科院分区：
文献类型：
--
作者：
Jiao Wei;X. Geng
借助零曲率方程，提出了一个新的非线性演化方程层次，该方程与具有四个势的 3 × 3 矩阵谱问题相关。层次结构的广义双哈密顿结构是通过使用迹恒等式导出的。此外，我们利用谱参数展开构造了层次结构中典型非线性演化方程的无限守恒定律。
With the aid of the zero-curvature equation, a hierarchy of new nonlinear evolution equations is proposed, which is associated with a 3 × 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.