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[Licence| Download | New Version Template] adfc_v1_0.gz(51 Kbytes)
Manuscript Title: SUSY2.
Authors: Z. Popowicz
Program title: SUSY2
Catalogue identifier: ADFC_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 100(1997)277
Programming language: Reduce.
Computer: IRIS INDIGO.
Operating system: UNIX, DOS.
RAM: 8M words
Word size: 32
Keywords: General purpose, Particle physics, Elementary, Algebras, Supersymmetry, Superderivative, Superfunctions, Solitons, Lax pair, Jacobi identity, Nonlinear, Partial differential, Equations, Functional gradients, Qcd.
Classification: 4.2, 4.7, 11.5.

Nature of problem:
The program allows one to compute conservation laws for some supersymmetric generalisations [1] of the soliton equation [2]. It allows one to create supersymmetric generalisationof the Lax pair. It also can be specialized to compute the roots of the supersymmetric Lax operator and hence to create new generalisations of the supersymmetric Kadomtsev-Pietviashvilli hierarchy [3]. The program takes into account the verification of the Jacobi identity for some supersymmetric algebras.

Solution method:
Noncomuting objects, typical for the Reduce language, are used in construction of superfunctions and in implementation of algebra of the supersymmetric derivatives.

Restrictions:
Symbolic integration of superfunctions is not implemented in this package and therefore the Jacobi identity is verified for the Poisson tensor constructed from local operators.

Unusual features:
The program works in a proper manner in Reduce 3.6 patched to 15 April 96. The problems appear in older versions of Reduce or in older patches.

Running time:
A few seconds to some minutes depending on the complexity of the problem under consideration.

References:
[1] J. Wess, J. Bagger, Supersymmetry and Supergravity, Princeton Press 1982.
[2] M. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Philadelphia, PA SIAM 1981).
[3] Z. Popowicz, J. Phys. A. Math. Gen 29 (1996) 1281-1291.