A new multi-component CKP hierarchy
Exactly Solvable and Integrable Systems
2007-10-29 v1
Abstract
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 -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.
Cite
@article{arxiv.0710.4985,
title = {A new multi-component CKP hierarchy},
author = {Hongxia Wu and Xiaojun Liu and Yunbo Zeng},
journal= {arXiv preprint arXiv:0710.4985},
year = {2007}
}
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8 pages