Eur. Phys. J. B 29, 197-201 (2002)
https://doi.org/10.1140/epjb/e2002-00285-7

Properties of supersymmetric integrable systems of KP type

Institute for Nuclear Research and Nuclear Energy, Boul. Tsarigradsko Chausse 72, 1784 Sofia, Bulgaria

Corresponding authors: ^a nissimov@inrne.bas.bg - ^b svetlana@inrne.bas.bg

Received: 13 September 2001
Published online: 2 October 2002

Abstract

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.