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

From MaRDI portal





scientific article; zbMATH DE number 5943171
Language Label Description Also known as
English
An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations
scientific article; zbMATH DE number 5943171

    Statements

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

    Identifiers