Classification of integrable super-systems using the SsTools environment

Published: 01-08-2007| Version 1 | DOI: 10.17632/gdvr4fg8k6.1
A.V. Kiselev,
T. Wolf


Abstract A classification problem is proposed for supersymmetric evolutionary PDE that satisfy the assumptions of nonlinearity, nondegeneracy, and homogeneity. Four classes of nonlinear coupled boson-fermion systems are discovered under the weighting assumption | f | = | b | = | D_t| = frac(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. Title of program: SsTools Catalogue Id: ADYY_v1_0 Nature of problem The program allows the classification of N >= 1 supersymmetric nonlinear scaling-invariant evolution equations {f t = φ f , b t = φ b } that admit infinitely many local symmetries propagated by recursion operators; here b(x, t; θ) is the set of bosonic super-fields and f(x; t; θ) are fermionic super-fields. Versions of this program held in the CPC repository in Mendeley Data ADYY_v1_0; SsTools; 10.1016/j.cpc.2007.02.113 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)