The algebraic structures of isospectral Lax operators and applications to integrable equations
The algebraic structures of isospectral Lax operators and applications to integrable equations
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DOI：
10.1088/0305-4470/25/20/014
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发表时间：
1992-10
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
对于一般谱算子，作者建立了相应的等谱Lax算子空间的代数结构类型，实质上构成了Lax算子方法的理论基础。此外，作者引入了 tau 代数和主代数的概念来描述非线性可积方程的时间多项式相关对称性。最后作者将Lax算子理论应用到可积方程的KP层次上作为说明例子，从而得到了KP层次的主对称代数。
For a general spectral operator, the author establishes types of algebraic structures of the spaces of the corresponding isospectral Lax operators, which essentially form the theoretical basis of the Lax operator method. Furthermore the author introduces the concepts of tau -algebras and master algebras to describe time-polynomial-dependent symmetries of nonlinear integrable equations. Finally the author applies the theory of Lax operators to the KP hierarchy of integrable equations as an illustrative example, and thus obtain the master symmetry algebra of the KP hierarchy.