On weakly non-local, nilpotent, and super-recursion operators for N=1 super-equations
Kiselev, A. V. ; Wolf, T.
arXiv, 0511056 / Harvested from arXiv
Text on arXiv
We consider nonlinear, scaling-invariant N=1 boson + fermion supersymmetric systems whose right-hand sides are homogeneous differential polynomials and satisfy some natural assumptions. We select the super-systems that admit infinitely many higher symmetries generated by recursion operators; we further restrict ourselves to the case when the dilaton dimensions of the bosonic and fermionic super-fields coincide and the weight of the time is half the weight of the spatial variable. We discover five systems that satisfy these assumptions; one system is transformed to the purely bosonic Burgers equation. We construct local, nilpotent, triangular, weakly non-local, and super-recursion operators for their symmetry algebras.
Publié le : 2005-11-26
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0511056,
     author = {Kiselev, A. V. and Wolf, T.},
     title = {On weakly non-local, nilpotent, and super-recursion operators for N=1
  super-equations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511056}
}

Kiselev, A. V.; Wolf, T. On weakly non-local, nilpotent, and super-recursion operators for N=1
  super-equations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511056/