Symmetries and Differential Forms

A H Davison School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, Johannesburg, South Africa E-mail: [email protected]

A H Kara School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits, 2050, Johannesburg, South Africa E-mail: [email protected]

Abstract

The method for writing a differential equation or system of differential equations in terms of differential forms and finding their symmetries was devised by Harrison and Estabrook (1971). A modification to the method is demonstrated on a wave equation with variable speed, and the modified method is extended to determine approximate and potential symmetries.

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Symmetries and Differential Forms

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