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
Math. Comput. Appl. 2003, 8(1), 89-94; https://doi.org/10.3390/mca8010089
Published: 1 April 2003
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
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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 StyleKara, 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
