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Two New Multi-component BKP Hierarchies |
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| Authors: | WU Hong-Xia LIU Xiao-Jun ZENG Yun-Bo |
| Affiliation: | 1.Department of Mathematics, School of Science, Jimei University, Xiamen 361021, China;2.Department of Mathematics, China Agricultural University, Beijing 100083, China ;3.Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
| Abstract: | We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchybased on the eigenfunction symmetry reduction and nonstandard reduction,respectively. The first one contains two types of BKP equation withself-consistent sources whose Lax representations are presented. The two mcBKPhierarchies both admit reductions to the k-constrained BKP hierarchy and tointegrable (1+1)-dimensional hierarchy with self-consistent sources, whichinclude two types of SK equation with self-consistent sources and ofbi-directional SK equations with self-consistent sources. |
| Keywords: | multi-component BKP hierarchy BKP equation with self-consistent sources κ-constrained BKPhierarchy n-reduction of mcBKP Lax representation |
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