Symbolic computations in applied differential geometry

DOI10.1007/BF02433841zbMath0539.68026OpenAlexW2092683991WikidataQ115392191 ScholiaQ115392191MaRDI QIDQ794160

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

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02433841

zbMATH Keywords

symbolic computationprogramsautomatic calculations in differential geometryinvariance groups of exterior differential systemsprolongation theory

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Local differential geometry (53B99) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items (12)

Unnamed Item ⋮ The computer calculation of Lie point symmetries of large systems of differential equations ⋮ Creating and annihilating Lie–Bäcklund transformations of the Federbush model ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Efficiently implementing two methods of the geometrical theory of differential equations: An experience in algorithm and software design ⋮ Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation ⋮ Software to compute infinitesimal symmetries of exterior differential systems, with applications ⋮ Reducing systems of linear differential equations to a passive form ⋮ Nonlocal symmetries and the linearization of the massless Thirring and the Federbush models ⋮ Isogroups of differential equations using algebraic computing ⋮ Lie–Bäcklund transformations for the massive Thirring model ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's

Uses Software

• REDUCE
• SHEEP

Cites Work

• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
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