Generalised KdV and MKdV equations associated with symmetric spaces
Generalised KdV and MKdV equations associated with symmetric spaces
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DOI：
10.1088/0305-4470/20/6/021
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发表时间：
1987-04
期刊：
影响因子：
--
通讯作者：
C. Athorne;A. Fordy
中科院分区：
文献类型：
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作者：
C. Athorne;A. Fordy
作者扩展了Fordy和Kulish（1983）提出的关于线性谱问题的先前结果。奇阶等谱流同时具有KdV型和MKdV型缩减。非线性项与相应厄米对称空间的曲率张量有关。它们的KdV方程本身就是已知矩阵KdV方程的约简。他们讨论了与这些方程相关的守恒密度和哈密顿结构。
The authors extend previous results on the linear spectral problem introduced by Fordy and Kulish (1983). The odd-order isospectral flows admit both a KdV and MKdV type reduction. The non-linear terms are related to the curvature tensor of the corresponding Hermitian symmetric space. Their KdV equations are themselves reductions of known matrix KdV equations. They discuss the conserved densities and Hamiltonian structure associated with these equations.