2007/10/26 by Wu, Hongxia, Liu, Xiaojun, Zeng, Yunbo
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences
paper · doi:10.48550/arxiv.0710.4985
We construct a new multi-component CKP hierarchy based on the eigenfunction symmetry reduction. It contains two types of CKP equation with self-consistent sources which Lax representations are presented. Also it admits reductions to k-constrained CKP hierarchy and to a (1+1)-dimensional soliton hierarchy with self-consistent source, which include two types of Kaup-Kuperschmidt equation with self-consistent sources and of bi-directional Kaup-Kuperschmidt equation with self-consistent sources.