27 citations · 62 across the 7 of their papers we have counts for
7 papers
On the non-abelian superalgebra spanned by the conserved quantities of N=1 supersymmetric Korteweg-de Vries equation
S. Andrea, A Restuccia, A. Sotomayor
We obtain an infinite sequence of bosonic non-local conserved quantities for the N=1 supersymmetric Korteweg-de Vries equation. It is generated from a bosonic non-local conserved q…
Infinite sequence of new conserved quantities for N=1 SKdV and the supersymmetric cohomology
S. Andrea, A. Restuccia, A. Sotomayor
An infinite sequence of new non-local conserved quantities for N=1 Super KdV (SKdV) equation is obtained. The sequence is constructed, via a Gardner trasformation, from a new conse…
New non-local SUSY KdV conservation laws from a recursive gradient algorithm
S. Andrea, A. Restuccia, A. Sotomayor
A complete proof of the recursive gradient approach is presented. It gives a construction of all the hierarchy structures of N=1 Super KdV, including the non-local one. A precise d…
The Gardner Category and Non-local Conservation Laws for N=1 Super KdV
S. Andrea, A. Restuccia, A. Sotomayor
The non-local conserved quantities of N=1 Super KdV are obtained using a complete algebraic framework where the Gardner category is introduced. A fermionic substitution semigroup a…
The Green's Function of the Supersymmetric D=1 Heat Equation
S. Andrea, A. Restuccia, A. Sotomayor
A rigorous treatment is given of the Green's function of the N=1 supersymmetric heat equation in one spatial dimension with a distribution initial value. The asymptotic expansion o…
Supersymmetric exact sequence, heat kernel and super KdV hierarchy
S. Andrea, A. Restuccia, A. Sotomayor
We introduce the free N=1 supersymmetric derivation ring and prove the existence of an exact sequence of supersymmetric rings and linear transformations. We apply necessary and suf…