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Authors: Thomas Wolf and Eberhard Schruefer

A detailed description is available through the online tutorial

https://lie.ac.brocku.ca/crack/susy/. An essentially equivalent
description is available after loading SSTOOLS and issuing the command
sshelp()$. The correct functioning of all procedures is tested through reading
in and running sstools.tst. This test also illustrates the commutator rules
for products of the different fields and their derivatives with respect to besonic
and fermionic variables.

The topics in the tutorial and in sshelp()$ are:

- Purpose
- Interactive Session
- Loading Files
- Notation
- Initializations
- The command coeffn
- The procedure SSym
- The procedure SSConL
- The procedure FindSSWeights
- The procedure Linearize
- The procedure GenSSPoly
- The procedure ToCoo
- The procedure ToField
- Discovery of recursion operators
- Verification of symmetries

[1] Hussin, V., Kiselev, A.V., Krutov, A.O., Wolf, T.: N=2 Supersymmetric a=4 - Korteweg-de Vries hierarchy derived via Gardner’s deformation of Kaup-Bousinesq equation, J. Math. Phys. 51, 083507 (2010); doi:10.1063/1.3447731 (19 pages) link, pdf file

[2] Kiselev, A. and Wolf, T.: Supersymmetric Representations and Integrable Super-Extensions of the Burgers and Bussinesq Equations, SIGMA, Vol. 2 (2006), Paper 030, 19 pages (arXiv math-ph/0511071). ps file, pdf file

[3] Kiselev, A. and Wolf, T.: On weakly non-local, nilpotent, and super-recursion operators for N=1 homogeneous super-equations, Proc. Int. Workshop “Supersymmetries and Quantum Symmetries” (SQS’05), Dubna, July 24–31, 2005, JINR, p. 231–237. (arXiv nlin.SI/0511056) http://theor.jinr.ru/ sqs05/SQS05.pdf dvi file, ps file,

[4] Kiselev, A. and Wolf, T.: Classification of integrable super-equations by the SsTools environment, Comp Phys Comm, Vol. 177, no. 3 (2007) p 315-328 (and on arXiv: nlin.SI/0609065). dvi file, ps file, pdf file

[5] I. S. Krasil’shchik, P. H. M. Kersten, Symmetries and recursion operators for classical and supersymmetric differential equations, Kluwer Acad. Publ., Dordrecht etc, (2000)

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