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An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations - MaRDI portal

An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations (Q636104)

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scientific article; zbMATH DE number 5943171
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An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations
scientific article; zbMATH DE number 5943171

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    An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations (English)
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    25 August 2011
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    Summary: 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.
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    conservation laws
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    symmetry generators
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