A new C-type subhierarchy for KP hierarchy with two new time seriesγ_n andσ_k((γ_n,σ_k)-CKPH),whichconsists ofγ_n-flow,σ_k-flow and mixedγ_n andσ_k evolution equations of eigenfunctions,is proposed.The zero-cu...A new C-type subhierarchy for KP hierarchy with two new time seriesγ_n andσ_k((γ_n,σ_k)-CKPH),whichconsists ofγ_n-flow,σ_k-flow and mixedγ_n andσ_k evolution equations of eigenfunctions,is proposed.The zero-curvaturerepresentation for the(γ_n,σ_k)-CKPH is derived.The reduction and constrained flows of(γ_n,σ_k)-CKPH are studied.展开更多
The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by ...The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by using the extended trace identity. As its application, we have obtained the Hamiltonian structures of the Yang hierarchy, the Korteweg-de-Vries （KdV） hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur （M-AKNS） hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur Kaup-Newell （M-AKNS-KN） hierarchy and a new multi-component integrable hierarchy separately.展开更多
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 seriesγ_n andσ_k((γ_n,σ_k)-CKPH),whichconsists ofγ_n-flow,σ_k-flow and mixedγ_n andσ_k evolution equations of eigenfunctions,is proposed.The zero-curvaturerepresentation for the(γ_n,σ_k)-CKPH is derived.The reduction and constrained flows of(γ_n,σ_k)-CKPH are studied.
基金Project supported by the National Natural Science Foundation of China （Grant Nos 10371070 and 10547123）. Acknowledgments The first author expresses her appreciation to the Soliton Research Team of Shanghai University, China for useful discussion.
文摘The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by using the extended trace identity. As its application, we have obtained the Hamiltonian structures of the Yang hierarchy, the Korteweg-de-Vries （KdV） hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur （M-AKNS） hierarchy, the multi-component Ablowitz-Kaup-Newell-Segur Kaup-Newell （M-AKNS-KN） hierarchy and a new multi-component integrable hierarchy separately.
