Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations

作者：Luo, Lin^*

来源：Communications in Theoretical Physics, 2017, 67(2): 127-130.

DOI：10.1088/0253-6102/67/2/127

• discrete spectral problem
• lattice hierarchy
• algebraic structure
• master symmetry

In this paper, based on a discrete spectral problem and the corresponding zero curvature representation, the isospectral and nonisospectral lattice hierarchies are proposed. An algebraic structure of discrete zero curvature equations is then established for such integrable systems. the commutation relations of Lax operators corresponding to the isospectral and non-isospectral lattice flows are worked out, the master symmetries of each lattice equation in the isospectral hierarchyand are generated, thus a T-symmetry algebra for the lattice integrable systems is engendered from this theory.

• 出版日期2017-2
• 单位上海第二工业大学