MKdV族对应的非共焦对合系及经典可积系统

NONCONFOCAL INVOLUTIVE SYSTEMS AND CLASSICAL INTEGRABLE SYSTEMS ASSOCIATED WITH THE MKdV HIERARCHY

本文应用特征值问题的非线性化方法,发现 MKdV 族对应着两个非共焦对合系,进而生成一族新型的 Liouville 完全可积的 Bargmann 系统和一族新型的Liouville 完全可积的 C Neumann 系统。

Two nonconfocal involutive systems are found by making use of the nonlineariza- tion method of eigenvalue problem,from which a new hierarchy of completely integrable Bargmann systems and a new hierarchy of completely integrable C Neumann systems in the Liouvile sense are g(?)rated.