A new extended KP hierarchy
arXiv:0710.4015 · doi:10.1016/j.physleta.2008.02.070
Abstract
A method is proposed to construct a new extended KP hierarchy, which includes two types of KP equation with self-consistent sources and admits reductions to k-constrained KP hierarchy and to Gelfand-Dickey hierarchy with sources. It provides a general way to construct soliton equations with sources and their Lax representations.
Published in Phys. Lett. A, 13 pages