A CORRESPONDENCE BETWEEN THE AKNS HIERARCHY AND THE JM HIERARCHY

Reference [1] presented a gauge transformation between the x parts of the AKNS eigenvalue problem and those of the JM(Jaulent-Miedek)eigenvalue problem.In this paper we discuss the correspondence between the t parts of the AKNS eigenvalue problem and the t parts of the JM eigenvalue problem under the gauge transformation,and give a correspondence between the AKNS hierarchy and the JM hierarchy and also three types of Darboux tranaformation for the JM hierarchy.     

万花筒型散射的杨-Baxter方程组

本文以根图及Weyl分类的B_n与D_n万花筒型散射所满足的杨-Baxter方程组,并证明它们在Coxeter 图端点具有反射行为,也讨论了它们的物理意义。     

自对偶Yang-Mills方程的无穷多对称及其构成的圈代数及Virasoro代数

本文研究自对偶Yang-Mills方程(SDYM).通过利用其相应的特征值问题及无穷小意义下的“穿衣服方法”,我们得到了SDYM的无穷多对称,证明了由这些对称构成的集合的两子集合分别构成圈代数及Virasoro代数.