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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 13 September 2001 Published online 2 October 2002
RID="a"
ID="a"e-mail: nissimov@inrne.bas.bg
RID="b"
ID="b"e-mail: svetlana@inrne.bas.bg
Rights and permissions
About this article
Cite this article
Nissimov, E., Pacheva, S. Properties of supersymmetric integrable systems of KP type. Eur. Phys. J. B 29, 197–201 (2002). https://doi.org/10.1140/epjb/e2002-00285-7
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2002-00285-7