This paper gives a recursion operator for a 1-constrained CKP hierarchy, and by the recursion operator it proves that the 1-constrained CKP hierarchy can be reduced to the mKdV hierarchy under condition q = r.
A new C-type subhierarchy for KP hierarchy with two new time series γn and σk （ （Tn,crk ）-CKPH）, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. The...A new C-type subhierarchy for KP hierarchy with two new time series γn and σk （ （Tn,crk ）-CKPH）, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. The zero-curvature representation for the （γn, σk ）-CKPH is derived. The reduction and constrained flows of （γn, σk ）-CKPH are studied.展开更多
基金NSFC (10671187 10971109)the Program for NCET (NECT-08-0515)
文摘This paper gives a recursion operator for a 1-constrained CKP hierarchy, and by the recursion operator it proves that the 1-constrained CKP hierarchy can be reduced to the mKdV hierarchy under condition q = r.
基金Supported by National Basic Research Program of China(973 Program) under Grant No.2007CB814800National Natural Science Foundation of China under Grant Nos.10901090,10801083,11171175+1 种基金Chinese Universities Scientific Fund under Grant No.2011JS041China Postdoctoral Science Foundation Funded Project under Grant No.20110490408
文摘A new C-type subhierarchy for KP hierarchy with two new time series γn and σk （ （Tn,crk ）-CKPH）, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. The zero-curvature representation for the （γn, σk ）-CKPH is derived. The reduction and constrained flows of （γn, σk ）-CKPH are studied.
