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| In this work we consider a (1+3) version of the Zakharov-Kuznetsov equation, an equation that plays an import hole in mathematical physics and can be viewed as a higher dimensional version of the Korteweg-de Vries equation. We obtain necessary and suficient conditions for the equation to be nonlinearly self-adjoint. Then, using its Lie point symmetry generators and the obtained substitutions, we establish some local conservation laws using Ibragimov's recent conservation theorem. |
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