The algebraic structure of zero curvature representations and application to coupled KdV systems
The algebraic structure of zero curvature representations and application to coupled KdV systems
复制标题
DOI：
10.1088/0305-4470/26/11/009
复制
发表时间：
1993-06
期刊：
影响因子：
--
通讯作者：
W. Ma
中科院分区：
文献类型：
--
作者：
W. Ma
作者首先建立了与零曲率表示有关的代数结构，并提出了计算可积系统对称代数的新方法。然后，他推导出一个层次的nonisospectral流耦合KdV系统从一个频谱问题的Laurent多项式依赖形式的频谱参数。进而，根据这个代数结构，得到了等谱流和非等谱流对应的Lax算子的交换子关系，从而由这个一般理论产生了耦合KdV系统的对称代数.
The author first establishes an algebraic structure related to zero curvature representations and propose a new approach for calculating symmetry algebras of integrable systems. Then he deduces a hierarchy of nonisospectral flows associated with coupled KdV systems from a spectral problem with the Laurent polynomial dependent form of the spectral parameter. Furthermore, the commutator relations of Lax operators corresponding to isospectral and nonisospectral flows are worked out according to this algebraic structure, and thus a symmetry algebra for coupled KdV systems is engendered from this general theory.