Yan, Zhi-Lian; Liu, Xi-Qiang Symmetry reductions and explicit solutions for a generalized Zakharov-Kuznetsov equation. (English) Zbl 1170.35526 Commun. Theor. Phys. 45, No. 1, 29-32 (2006). 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. Cited in 11 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35A30 Geometric theory, characteristics, transformations in context of PDEs Keywords:symmetry; explicit solution PDFBibTeX XMLCite \textit{Z.-L. Yan} and \textit{X.-Q. Liu}, Commun. Theor. Phys. 45, No. 1, 29--32 (2006; Zbl 1170.35526) Full Text: DOI