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Zbl 1170.35526
Zhi-Lian, Yan; Xi-Qiang, Liu
Symmetry reductions and explicit solutions for a generalized Zakharov-Kuznetsov equation.
(English)
[J] Commun. Theor. Phys. 45, No. 1, 29-32 (2006). ISSN 0253-6102

Summary: Two types of symmetry of a generalized Zakharov-Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new explicit solutions of the generalized Zakharov-Kuznetsov equation.
MSC 2000:
*35Q53 KdV-like equations
35A30 Geometric theory for PDE, transformations

Keywords: symmetry; explicit solution

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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