×

The Painlevé analysis of the Zakharov-Kuznetsov equation. (English) Zbl 1063.35550

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.

MSC:

35Q58 Other completely integrable PDE (MSC2000)
35A30 Geometric theory, characteristics, transformations in context of PDEs
82D10 Statistical mechanics of plasmas
PDFBibTeX XMLCite
Full Text: DOI