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Article

Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations

by
A. H. Kara
School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, P. O. Wits 2050, Johannesburg, South Africa
Math. Comput. Appl. 2003, 8(1), 89-94; https://doi.org/10.3390/mca8010089
Published: 1 April 2003
Versions Notes

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

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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. https://doi.org/10.3390/mca8010089

AMA Style

Kara AH. Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations. Mathematical and Computational Applications. 2003; 8(1):89-94. https://doi.org/10.3390/mca8010089

Chicago/Turabian Style

Kara, A. H. 2003. "Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations" Mathematical and Computational Applications 8, no. 1: 89-94. https://doi.org/10.3390/mca8010089

APA Style

Kara, A. H. (2003). Potential Symmetry Generators of Some Perturbed Nonlinear Evolution Related Equations. Mathematical and Computational Applications, 8(1), 89-94. https://doi.org/10.3390/mca8010089

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