我们第一分别地基于特徵函数对称减小和非标准的减小建议二种新多部件 BKP (mcBKP ) 层次。第一种与其宽松的代表被介绍的前後一致的来源一起包含 BKP 方程的二种类型。两个承认的二个 mcBKP 层次减小到抑制 k 的 BKP 层次并且到与前後一致的来源一起的维的层次,它包括二与前後一致的来源一起与前後一致的来源一起并且双向 SK 方程 SK 方程打的 integrable (1+1 ) 。
We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchy based on the eigenfunction symmetry reduction and nonstandard reduction, respectively. The first one contains two types of BKP equation with self-consistent sources whose Lax representations are presented. The two mcBKP hierarchies both admit reductions to the k-constrained BKP hierarchy and to integrable (1+1)-dimensional hierarchy with self-consistent sources, which include two types of SK equation with self-consistent sources and of hi-directional SK equations with self-consistent