等谱和非等谱TD族，Lax表示与零曲率表示  

ISOSPECTRAL AND NON-ISOSPECTRAL TD HIERARCHIES, THE LAX REPRESENTATIONS AND THE ZERO-CURVATURE REPRESENTATIONS

作　　者：斯仁道尔吉[1] 

机构地区：[1]内蒙古师范大学

出　　处：《高校应用数学学报（A辑）》1995年第4期375-382,共8页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：首先，推广文［１］的结果，建立了等谱（λｔ＝０）和非等谱（λ＝λｎ＋１）ＴＤ族，并给出相应的Ｌａｘ表示，再用文［２］的方法得到了相应的零曲率表示。By generalizing the results given in reference [1], the isospectral(λt=0) and the nonisospectral (λt=λn+1) TD hierarchies are constructed and their corresponding Lax representations are also presented. In addition, their corresponding zero-curvature representations are obtained by use of the method which is given in reference [2].

关 键 词：LAX表示 零曲率表示 可积系统 发展方程 非线性 

分 类 号：O175.2[理学—数学]