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Math. Comput. Appl. 2003, 8(1), 89-94; doi:10.3390/mca8010089

Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations

School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, P. O. Wits 2050, Johannesburg, South Africa
Published: 1 April 2003
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Abstract

Some recent results on approximate Lie group methods and previously developed concepts on potential symmetries are extended and applied to nonlinear systems perturbed to some order by a small parameter. The potential (or auxiliary) form of the perturbed . system necessarily requires knowledge of an "approximate" conservation law of the system. We make an analysis on a perturbed Burgers equation and discuss other nonlinear equations where the results are applicable.
Keywords: potential; approximate symmetries potential; approximate symmetries
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Kara, A.H. Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations. Math. Comput. Appl. 2003, 8, 89-94.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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