Shivamoggi, Bhimsen K. The Painlevé analysis of the Zakharov-Kuznetsov equation. (English) Zbl 1063.35550 Phys. Scr. 42, No. 6, 641-642 (1990). From the summary: In this paper we make a Painlevé analysis of the Zakharov-Kuznetsov equation \(u_ t+uu_ x+u_ {xxx}+u_ {xyy}=0\) (which governs nonlinear ion-acoustic waves in a magnetized plasma) and show that it possesses the Painlevé property. There is no other evidence that this equation is integrable. Cited in 22 Documents MSC: 35Q58 Other completely integrable PDE (MSC2000) 35A30 Geometric theory, characteristics, transformations in context of PDEs 82D10 Statistical mechanics of plasmas PDFBibTeX XMLCite \textit{B. K. Shivamoggi}, Phys. Scr. 42, No. 6, 641--642 (1990; Zbl 1063.35550) Full Text: DOI