Infinite sequence of new conserved quantities for N=1 SKdV and the supersymmetric cohomology (2008)
Andrea, S., Restuccia, A., Sotomayor, A.
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 conserved quantity of...
New non-local SUSY KdV conservation laws from a recursive gradient algorithm (2007)
Andrea, S., Restuccia, A., Sotomayor, A.
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 definition of the...
P. Acevedo, F. García, A. Sotomayor, M. Fuentes, E. Moreno
Design and Construction of a Blood Flow Detector Probe for a Continuous Wave Bidireccional Doppler Ultrasound System
The Gardner Category and Non-local Conservation Laws for N=1 Super KdV (2005)
Andrea, S., Restuccia, A., Sotomayor, A.
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 and the resulting...
The Green's Function of the Supersymmetric D=1 Heat Equation (2004)
Andrea, S., Restuccia, A., Sotomayor, A.
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 of the...
Supersymmetric exact sequence, heat kernel and super KdV hierarchy (2003)
Andrea, S., Restuccia, A., Sotomayor, A.
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 sufficient conditions...
An Operator Valued Extension of the Super KdV Equations (2000)
Andrea, S., Sotomayor, A., Restuccia, A.
An extension of the Super KdV integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many...