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Math. Comput. Appl. 2010, 15(4), 658-664; doi:10.3390/mca15040658

An Analysis of the Symmetries and Conservation Laws of the Class of Zakharov-Kuznetsov Equations

School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa
Published: 1 December 2010
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Abstract

In this paper, we study and classify the conservation laws of the Zakharov- Kuznetsov equations. It is shown that these can be obtained by studying the interplay between symmetry generators and ‘multipliers’. This is, particularly, useful for the higher-order multipliers. As a final note, we include Drinfeld-Sokolov-Wilson system to demonstrate the usefulness of the approach to systems of pdes.
Keywords: Conservation laws; symmetry generators Conservation laws; symmetry generators
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. An Analysis of the Symmetries and Conservation Laws of the Class of Zakharov-Kuznetsov Equations. Math. Comput. Appl. 2010, 15, 658-664.

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