130 research outputs found
Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
The general method of the supersymmetrization of the soliton equations with
the odd (bi) hamiltonian structure is established. New version of the
supersymmetric N=2,4 (Modified) Korteweg de Vries equation is given, as an
example. The second odd Hamiltonian operator of the SUSY KdV equation generates
the odd N=2,4 SUSY Virasoro - like algebra.Comment: 13 pages LaTe
Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy
We present two different Lax operators for a manifestly N=2 supersymmetric
extension of "a=-2" Boussinesq hierarchy . The first is the supersymmetric
generalization of the Lax operator of the Modified KdV equation. The second is
the generalization of the supersymmetric Lax operator of the N=2 supersymmetric
a=-2 KdV system. The gauge transformation of the first Lax operator provide the
Miura link between the "small" N=4 supersymmetric conformal algebra and the
supersymmetric algebra .Comment: LaTex, new references added, minor typos corrected, e-mail:
[email protected]
Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operator
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV
hierarchy. The root of the supersymmetric Lax operator of the KdV equation is
generalized, by including additional fields. This generalized root generate new
hierarchy of integrable equations, for which we investigate the hamiltonian
structure. In special case our system describes the interaction of the KdV
equation with the two MKdV equations.Comment: 9 pages Latex,e-mail [email protected]
Bad pixel modified interpolation for astronomical images
We present a new method of interpolation for the pixel brightness estimation
in astronomical images. Our new method is simple and easily implementable. We
show the comparison of this method with the widely used linear interpolation
and other interpolation algorithms using one thousand astronomical images
obtained from the Sloan Digital Sky Survey. The comparison shows that our
method improves bad pixels brightness estimation with four times lower mean
error than the presently most popular linear interpolation and has a better
performance than any other examined method. The presented idea is flexible and
can be also applied to presently used and future interpolation methods. The
proposed method is especially useful for large sky surveys image reduction but
can be also applied to single image correction.Comment: 16 pages, 10 figures. Printed in PASP, September 201
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 supersymmetric integrable systems starting from
the Lax equation in superspace. We use the method of symmetric space as well as
the non-Abelian gauge technique to obtain the supersymmetric integrable
hierarchies of the AKNS type from the zero curvature condition in superspace
with the graded algebras, sl(n+1,n), providing the Hermitian symmetric space
structure.Comment: LaTeX, 9 pg
The sAKNS Hierarchy
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 special features of the equations and construct
the bosonic local charges as well as the fermionic nonlocal charges associated
with the system starting from the Lax operator. We obtain the Hamiltonian
structures of the system and check the Jacobi identity through the method of
prolongation. We also show that this hierarchy of equations can equivalently be
described in terms of a fermionic Lax operator. We obtain the zero curvature
formulation as well as the conserved charges of the system starting from this
fermionic Lax operator which suggests a connection between the two. Finally,
starting from the fermionic description of the system, we construct the soliton
solutions for this system of equations through Darboux-Backlund transformations
and describe some open problems.Comment: LaTeX, 16 pg
- …