Differential geometric computations and computer algebra

DOI10.1016/S0895-7177(97)00055-1zbMath0893.53017OpenAlexW2077604258WikidataQ115338619 ScholiaQ115338619MaRDI QIDQ1368538

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

Publication date: 24 July 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00055-1

zbMATH Keywords

computer algebradifferential geometrysupersymmetryliterate programming

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Classification of integrable super-systems using the Sstools environment

Uses Software

• SYMMGRP

Cites Work

• Local symmetries and conservation laws
• Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
• Lie algebra computations
• Software to compute infinitesimal symmetries of exterior differential systems, with applications
• Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation
• Some new cohomological invariants for nonlinear differential equations
• Review of symbolic software for Lie symmetry analysis
• Literate Programming
• Supersymmetric extension of the Korteweg–de Vries equation
• Prolongation structures of a higher-order nonlinear Schrodinger equation
• Supersymmetric extensions of the nonlinear Schrödinger equation: Symmetries and coverings
• Prolongation structures of nonlinear evolution equations. II
• PRESENTATION FOR THE VIRASORO ALGEBRA
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
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