PseudoLinearSystems – A Maple Package for Studying Systems of Pseudo-Linear Equations
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Pseudo-linear systems constitute a large class of linear functional systems including the usual differential, difference and q-difference systems. The Maple package PseudoLinearSystems is dedicated to the study of this class of linear systems. It contains a generic procedure for computing a so-called simple form of a pseudo-linear system as well as local data useful for the local analysis: k-simple forms, super-irreducible forms, integer slopes of the Newton polygon, indicial equations, etc. It is also devoted to the computation of rational solutions (using simple forms) of a single linear differential, difference or q-difference system, as well as rational solutions of a system of mixed linear partial differential, difference and q-difference equations. In this software presentation, we demonstrate the use of several procedures of the package that are all based on the simple form procedure.
KeywordsPseudo-linear systems Simple forms Rational solutions
- 1.Barkatou, M., Cluzeau, T., El Hajj, A.: PseudoLinearSystems - A Maple Package for Studying Systems of Pseudo-Linear Equations (2019). http://www.unilim.fr/pages_perso/ali.el-hajj/PseudoLinearSystems.html
- 2.Barkatou, M., Cluzeau, T., El Hajj, A.: Simple forms and rational solutions of pseudo-linear systems. In: Proceedings of the ISSAC 2019 (2019)Google Scholar