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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2003, 8(1), 89-94;

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
PDF [262 KB, uploaded 31 March 2016]


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

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