Computer-aided closure of the lie algebra associated with a nonlinear partial differential equation

Allan Reiman

doi:10.1016/0898-1221(81)90123-1

Computer-aided closure of the lie algebra associated with a nonlinear partial differential equation

Allan Reiman

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Algorithms have been developed in the MACSYMA language for closing the Lie algebra generated from a nonlinear partial differential equation using the method of Wahlquist and Estabrook. The method is applied to find closed form solution of a nonlinear equation of interest in plasma physics.

Original language	English (US)
Pages (from-to)	387-393
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	7
Issue number	5
DOIs	https://doi.org/10.1016/0898-1221(81)90123-1
State	Published - 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0898-1221(81)90123-1

Cite this

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title = "Computer-aided closure of the lie algebra associated with a nonlinear partial differential equation",

abstract = "Algorithms have been developed in the MACSYMA language for closing the Lie algebra generated from a nonlinear partial differential equation using the method of Wahlquist and Estabrook. The method is applied to find closed form solution of a nonlinear equation of interest in plasma physics.",

author = "Allan Reiman",

year = "1981",

doi = "10.1016/0898-1221(81)90123-1",

language = "English (US)",

volume = "7",

pages = "387--393",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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T1 - Computer-aided closure of the lie algebra associated with a nonlinear partial differential equation

AU - Reiman, Allan

PY - 1981

Y1 - 1981

N2 - Algorithms have been developed in the MACSYMA language for closing the Lie algebra generated from a nonlinear partial differential equation using the method of Wahlquist and Estabrook. The method is applied to find closed form solution of a nonlinear equation of interest in plasma physics.

AB - Algorithms have been developed in the MACSYMA language for closing the Lie algebra generated from a nonlinear partial differential equation using the method of Wahlquist and Estabrook. The method is applied to find closed form solution of a nonlinear equation of interest in plasma physics.

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U2 - 10.1016/0898-1221(81)90123-1

DO - 10.1016/0898-1221(81)90123-1

M3 - Article

AN - SCOPUS:0019664355

SN - 0898-1221

VL - 7

SP - 387

EP - 393

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5

ER -

Computer-aided closure of the lie algebra associated with a nonlinear partial differential equation

Abstract

All Science Journal Classification (ASJC) codes

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