With the help of a Lie algebra, an isospectral Lax pair is introduced for which a new Liouville integrable hierarchy of evolution equations is generated. Its Hamiltonian structure is also worked out by use of the quad...With the help of a Lie algebra, an isospectral Lax pair is introduced for which a new Liouville integrable hierarchy of evolution equations is generated. Its Hamiltonian structure is also worked out by use of the quadratic-form identity.展开更多
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
文摘With the help of a Lie algebra, an isospectral Lax pair is introduced for which a new Liouville integrable hierarchy of evolution equations is generated. Its Hamiltonian structure is also worked out by use of the quadratic-form identity.
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.