2007/11/04 by Hongxia Wu, Xiaojun Liu, Wu, Hongxia +3
Computer Science · Engineering · #Digital Rights Management and Security #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Scheduling and Optimization Algorithms
paper · pdf · doi:10.48550/arxiv.0711.0490
openalex publication_date 2007/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
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 which 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 bi-directional SK equations with self-consistent sources.