Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation

DOI10.1007/BF00047044zbMath0745.58007WikidataQ115395304 ScholiaQ115395304MaRDI QIDQ1181701

P. K. H. Gragert, Paul H. M. Kersten

Publication date: 27 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

KdV equationcomputer algebrasupersymmetrygraded differential geometry

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Supermanifolds and graded manifolds (58A50) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Linear higher-order PDEs (35G05)

Related Items (5)

Differential geometric computations and computer algebra ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Symbolic computation and differential equations: Lie symmetries ⋮ Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation ⋮ GLie: A MAPLE program for Lie supersymmetries of Grassmann-valued differential equations

Uses Software

• REDUCE
• SYMMGRP.MAX
• SPDE

Cites Work

• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation
• The computer calculation of Lie point symmetries of large systems of differential equations
• Prolongation structures for supersymmetric equations
• Symmetries for the super-KdV equation
• Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
• Supersymmetric extension of the Korteweg–de Vries equation
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings

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