A novel hierarchy of differential—integral equations and their generalized bi-Hamiltonian structures
A novel hierarchy of differential—integral equations and their generalized bi-Hamiltonian structures
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DOI：
10.1088/1674-1056/23/6/060201
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发表时间：
2014-06
影响因子：
1.7
通讯作者：
Yunyun Zhai;X. Geng;G. He
中科院分区：
文献类型：
--
作者：
Yunyun Zhai;X. Geng;G. He
借助于零曲率方程，提出了一类新的与3 × 3矩阵谱问题相关联的非线性发展方程族.利用迹恒等式，建立了具有两个反对称算子的方程族的双Hamilton结构。基于两个线性谱问题，我们得到了族中第一个成员的无穷多个守恒律。
With the aid of the zero-curvature equation, a novel integrable hierarchy of nonlinear evolution equations associated with a 3 × 3 matrix spectral problem is proposed. By using the trace identity, the bi-Hamiltonian structures of the hierarchy are established with two skew-symmetric operators. Based on two linear spectral problems, we obtain the infinite many conservation laws of the first member in the hierarchy.