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Classification of integrable super-systems using the SsTools environment

By Arthemy V. Kiselev and Thomas Wolf

Abstract

A classification problem is proposed for supersymmetric scaling-invariant evolutionary PDE that satisfy the assumptions of nonlinearity and nondegeneracy. Four classes of nonlinear coupled boson-fermion systems are discovered under the homogeneity assumption |f | = |b | = |Dt | = 1 2. The syntax of the Reduce package SsTools, which was used for intermediate computations, and the applicability of its procedures to the calculus of super-PDE are described

Year: 2006
OAI identifier: oai:CiteSeerX.psu:10.1.1.235.3884
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