Supersymmetric Kadomtsev–Petviashvili hierarchy:“ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions

H Aratyn, E Nissimov, S Pacheva - Journal of Mathematical Physics, 1999 - pubs.aip.org
This paper studies Manin–Radul supersymmetric Kadomtsev–Petviashvili hierarchy (MR-
SKP) in three related aspects:(i) We find an infinite set of additional (“ghost”) symmetry flows …

The fully supersymmetric AKNS problem: Darboux transformations and discrete systems

X Zhou, L Xue, Q Liu - Physica Scripta, 2023 - iopscience.iop.org
The fully supersymmetric AKNS spectral problem with four superfields proposed by Morosi
and Pizzocchero is considered. This is a hybrid problem of the classical AKNS and …

N = 2 KP and KdV Hierarchies in Extended Superspace

F Delduc, L Gallot - Communications in mathematical physics, 1997 - Springer
We give the formulation in extended superspace of an N= 2 supersymmetric KP hierarchy
using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian …

Hamiltonian structures of generalized Manin–Radul super-KdV and constrained super KP hierarchies

MH Tu, JC Shaw - Journal of Mathematical Physics, 1999 - pubs.aip.org
A study of Hamiltonian structures associated with supersymmetric Lax operators is
presented. Following a constructive approach, the Hamiltonian structures of Inami–Kanno …

The sAKNS hierarchy

H Aratyn, A Das - Modern Physics Letters A, 1998 - World Scientific
We study, systematically, the properties of the supersymmetric AKNS (sAKNS) hierarchy. In
particular, we discuss the Lax representation in terms of a bosonic Lax operator and some …

Symmetries of supersymmetric integrable hierarchies of KP type

E Nissimov, S Pacheva - Journal of Mathematical Physics, 2002 - pubs.aip.org
This article is devoted to the systematic study of additional (non-isospectral) symmetries of
constrained (reduced) supersymmetric integrable hierarchies of KP type—the so-called SKP …

Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes

CN Babalic, AS Carstea - Modern Physics Letters A, 2020 - World Scientific
In this paper, we investigate the super-bilinear formalism and interaction of supersoliton
solutions for the supersymmetric AKNS system [H. Aratyn and A. Das, Mod. Phys. Lett. A 13 …

Zero curvature formalism for supersymmetric integrable hierarchies in superspace

H Aratyn, C Rasinariu, A Das - Modern Physics Letters A, 1997 - World Scientific
We generalize the Drinfeld–Sokolov formalism of bosonic integrable hierarchies to
superspace, in a way which systematically leads to the zero curvature formulation for the …

The N= 2 supersymmetric matrix GNLS hierarchies

L Bonora, S Krivonos, A Sorin - Letters in Mathematical Physics, 1998 - Springer
We construct the matrix generalization of the N= 2 supersymmetric GNLS hierarchies. This is
done by exhibiting the corresponding matrix super Lax operators in terms of N= 2 …

The KW theorem for the SKP hierarchy

J He, Y Cheng - Physics Letters B, 1999 - Elsevier
The supersymmetric Kadomtsev-Petviashvili (SKP) hierarchy is first introduced by Manin
and Radul. In this letter, by the factorization Ln= LnLn− 1⋯ L1 with Lj= D+ uj, 0+ uj,− 1D− 1+ …