Properties of supersymmetric integrable systems of KP type
Institute for Nuclear Research and Nuclear Energy, Boul.
Tsarigradsko Chausse 72, 1784 Sofia, Bulgaria
Published online: 2 October 2002
The recently proposed supersymmetric extensions of reduced Kadomtsev-Petviashvili (KP) integrable hierarchies in N =1,~2 superspace are shown to contain in the purely bosonic limit new types of ordinary non-supersymmetric integrable systems. The latter are coupled systems of several multi-component non-linear Schrödinger-like hierarchies whose basic nonlinear evolution equations contain additional quintic and higher-derivative nonlinear terms. Also, we obtain the N = 2 supersymmetric extension of Toda chain model as Darboux-Bäcklund orbit of the simplest reduced N = 2 super-KP hierarchy and find its explicit solution.
PACS: 11.30.Pb – Supersymmetry / 05.45.Yv – Solitons nonlinear dynamics / 02.30.Ik – Integrable systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002