A new multi-component CKP hierarchy

Details A new multi-component CKP hierarchy A new multi-component CKP hierarchy

2007-10-26

arxiv.org/abs/0710.4985v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

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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