摘要
A new(γA,σB)-matrix KP hierarchy with two time series γA and σB,which consists of γA-flow,σB-flow and mixed γA and σB-evolution equations of eigenfunctions,is proposed.The reduction and constrained flows of(γA,σB)matrix KP hierarchy are studied.The dressing method is generalized to the(γA,σB)-matrix KP hierarchy and some solutions are presented.
基金
Supported by the National Science Foundation of China under Grant Nos. 10801083,10901090,11171175
China Postdoctoral Science Funded Project (20110490408)
Chinese Universities Scientific Fund under Grant No. 2011JS041
