Supersymmetric Kadomtsev–Petviashvili hierarchy:“ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions
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 …
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 …
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 …
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 …
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 …
particular, we discuss the Lax representation in terms of a bosonic Lax operator and some …
Symmetries of supersymmetric integrable hierarchies of KP type
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 …
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 …
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
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 …
superspace, in a way which systematically leads to the zero curvature formulation for the …
The N= 2 supersymmetric matrix GNLS hierarchies
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 …
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+ …
and Radul. In this letter, by the factorization Ln= LnLn− 1⋯ L1 with Lj= D+ uj, 0+ uj,− 1D− 1+ …