【摘要】 本文基于ｌｏｏｐ代数Ａ２的一个特殊子代数，设计了一个等谱问题，应用屠规彰格式计算出一族具有Ｈａｍｉｌｔｏｎ结构的可积系．此族含有非线性Ｓｃｈｒｄｉｎｇｅｒ方程与修正的ＫｄＶ方程，称之为ＮＬＳＭＫｄＶ方程族更多还原

【Abstract】 Based on a special subalgebra of the loop algebra  2, an isospectral problem is designed and an integrable hierarchy of equations with the Hamiltonian structure is worked out by using the Tu Guizhang scheme. This hierarchy contains both the non-linear Schrdinger equation and the MKdV equation, and so is named the　NLS-MKdV hierarchy.更多还原