该文考虑了Kac-van de Leur版本下超KP可积系列的一类推广系统,即s-次推广的超KP可积系列.首先,利用克利福德超代数与A型无穷维李超代数给出该系统在超费米Fock空间中的定义,其表现形式是一个用τ函数表达的恒等式.其次,利用A型超玻色-...该文考虑了Kac-van de Leur版本下超KP可积系列的一类推广系统,即s-次推广的超KP可积系列.首先,利用克利福德超代数与A型无穷维李超代数给出该系统在超费米Fock空间中的定义,其表现形式是一个用τ函数表达的恒等式.其次,利用A型超玻色-费米对应给出s-次推广的超KP可积系列在超玻色Fock空间中的像,即一个含有超变量的偏微分方程系统.在此基础上,给出该系统的超Hirota双线性形式,并从中导出KP方程和超KP方程.最后,该系统被推广到多分量情形.展开更多
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 ...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展开更多
文摘该文考虑了Kac-van de Leur版本下超KP可积系列的一类推广系统,即s-次推广的超KP可积系列.首先,利用克利福德超代数与A型无穷维李超代数给出该系统在超费米Fock空间中的定义,其表现形式是一个用τ函数表达的恒等式.其次,利用A型超玻色-费米对应给出s-次推广的超KP可积系列在超玻色Fock空间中的像,即一个含有超变量的偏微分方程系统.在此基础上,给出该系统的超Hirota双线性形式,并从中导出KP方程和超KP方程.最后,该系统被推广到多分量情形.
基金supported by National Basic Research Program of China (973 Program) under Grant No.2007CB814800National Natural Science Foundation of China under Grant No.10601028the Natural Science Foundation of Fujian Province under Grant No.2008J0199
文摘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
基金Supported by the National Natural Science Foundation of China(51675161)the Student Research Training Program of Henan University of Science and Technology(2017159)
