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arXiv · 0710.4985

A new multi-component CKP hierarchy

Hongxia Wu·Xiaojun Liu·Yunbo Zeng
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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 $k$-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.

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Hongxia Wu, Xiaojun Liu, Yunbo Zeng. 2007-10-26. A new multi-component CKP hierarchy. https://arxiv.org/abs/0710.4985

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