谱问题、发展方程族及Lax表示的等价性

Equivalence of Some Spectral Problems, Corresponding Evolution Equations Hierarchies and Lax Representations

中文关键词:  谱问题  发展方程族  Lax表示

英文关键词:spectral problems  evolution equation hierarchy  Lax representations.

中文摘要:

      讨论了四对谱问题、相应的保谱方程族以及它们Ｌａｘ表示的等价住，并利用这种等价关系可导出一些方程的Ｌａｘ表示．

英文摘要:

      We discusse the equivalence of four pairs of spectral problems, their corresponding evolution equations hierarchies and Lax representations. Thereby the Lax representations of some evolution equations are deduced.