Software to compute infinitesimal symmetries of exterior differenial systems, with applications

P.H.M. Kersten

doi:10.1007/BF00046573

Software to compute infinitesimal symmetries of exterior differenial systems, with applications

P.H.M. Kersten

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Abstract

A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the recursion operator for symmetries in a straightforward way. Nonlocal symmetries for the Federbush model are obtained yielding the linearization of the model.

Original language	Undefined
Pages (from-to)	207-229
Journal	Acta applicandae mathematicae
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/BF00046573
Publication status	Published - 1989

Keywords

Recursion operators
Symmetries
IR-85859
Computer algebra
53B50
68B99
35Q20

Access to Document

10.1007/BF00046573

Kersten_10.1007_BF00046573

Cite this

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title = "Software to compute infinitesimal symmetries of exterior differenial systems, with applications",

abstract = "A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the recursion operator for symmetries in a straightforward way. Nonlocal symmetries for the Federbush model are obtained yielding the linearization of the model.",

keywords = "Recursion operators, Symmetries, IR-85859, Computer algebra, 53B50, 68B99, 35Q20",

author = "P.H.M. Kersten",

year = "1989",

doi = "10.1007/BF00046573",

language = "Undefined",

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journal = "Acta applicandae mathematicae",

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T1 - Software to compute infinitesimal symmetries of exterior differenial systems, with applications

AU - Kersten, P.H.M.

PY - 1989

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N2 - A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the recursion operator for symmetries in a straightforward way. Nonlocal symmetries for the Federbush model are obtained yielding the linearization of the model.

AB - A description is given of a software package to compute symmetries of partial differential equations, using computer algebra. As an application, the computation of higher-order symmetries of the classical Boussinesq equation is given leading to the recursion operator for symmetries in a straightforward way. Nonlocal symmetries for the Federbush model are obtained yielding the linearization of the model.

KW - Recursion operators

KW - Symmetries

KW - IR-85859

KW - Computer algebra

KW - 53B50

KW - 68B99

KW - 35Q20

U2 - 10.1007/BF00046573

DO - 10.1007/BF00046573

M3 - Article

SN - 0167-8019

VL - 16

SP - 207

EP - 229

JO - Acta applicandae mathematicae

JF - Acta applicandae mathematicae

IS - 2

ER -