摘要
利用第一屠规彰格式,从一个联系mKdV方程族的谱问题出发,构造了等谱(tλ=0)和非等谱(tλ=nλ)的孤子族,且给出了它的哈密尔顿形式,随后,利用文[2]和文[5]所提供的方法,给出了相应的Lax表示与零曲率表示.
Based on the spectral problem of a Hierarchy of mKdV, this paper, taking advantage of the first Scheme, constructed the solution Hierachy of Insopectral and non-insopectral and established its Hamilton pattern. And then the Lax represenstations and Zero-curvature representation are obtained by using the methods given in reference[2] and reference[5].
基金
安徽省教育厅自然科学基金资助项目(2003kj036)
关键词
等谱和非等谱的mKdV族
HAMILTON结构
可积系统Lax表示
零曲率表示
isospectral and non-isospectral mKdV hierarchies
hamiltonian structure
intergrable system
Lax representations
zero-curvature representations.
